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Finding the Third Proportional to 507,521,241.84 and 807,566,091.75

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Solution

The third proportional to 507,521,241.84 and 807,566,091.75 is: 1,284,996,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,521,241.84 : 807,566,091.75 = 807,566,091.75 : x
  2. Step 2: Convert to fraction form
    507,521,241.84/807,566,091.75 = 807,566,091.75/x
  3. Step 3: Cross multiply
    507,521,241.84x = 807,566,091.75 × 807,566,091.75
  4. Step 4: Simplify right side
    507,521,241.84x = 652,162,992,544,369,408
  5. Step 5: Solve for x
    x = 652,162,992,544,369,408/507,521,241.84
  6. Step 6: Final answer
    x = 1,284,996,447.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.