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Finding the Third Proportional to 507,521,307 and 807,566,170.50

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Solution

The third proportional to 507,521,307 and 807,566,170.50 is: 1,284,996,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,521,307 : 807,566,170.50 = 807,566,170.50 : x
  2. Step 2: Convert to fraction form
    507,521,307/807,566,170.50 = 807,566,170.50/x
  3. Step 3: Cross multiply
    507,521,307x = 807,566,170.50 × 807,566,170.50
  4. Step 4: Simplify right side
    507,521,307x = 652,163,119,736,035,072
  5. Step 5: Solve for x
    x = 652,163,119,736,035,072/507,521,307
  6. Step 6: Final answer
    x = 1,284,996,532.64

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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.