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Finding the Third Proportional to 256,652,307 and 554,213,502

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Solution

The third proportional to 256,652,307 and 554,213,502 is: 1,196,765,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,652,307 : 554,213,502 = 554,213,502 : x
  2. Step 2: Convert to fraction form
    256,652,307/554,213,502 = 554,213,502/x
  3. Step 3: Cross multiply
    256,652,307x = 554,213,502 × 554,213,502
  4. Step 4: Simplify right side
    256,652,307x = 307,152,605,799,104,000
  5. Step 5: Solve for x
    x = 307,152,605,799,104,000/256,652,307
  6. Step 6: Final answer
    x = 1,196,765,419.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.