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Finding the Third Proportional to 655,209 and 987,430.50

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Solution

The third proportional to 655,209 and 987,430.50 is: 1,488,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,209 : 987,430.50 = 987,430.50 : x
  2. Step 2: Convert to fraction form
    655,209/987,430.50 = 987,430.50/x
  3. Step 3: Cross multiply
    655,209x = 987,430.50 × 987,430.50
  4. Step 4: Simplify right side
    655,209x = 975,018,992,330.25
  5. Step 5: Solve for x
    x = 975,018,992,330.25/655,209
  6. Step 6: Final answer
    x = 1,488,103.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.