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Finding the Third Proportional to 500,316,194 and 754,411,587

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Solution

The third proportional to 500,316,194 and 754,411,587 is: 1,137,554,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,316,194 : 754,411,587 = 754,411,587 : x
  2. Step 2: Convert to fraction form
    500,316,194/754,411,587 = 754,411,587/x
  3. Step 3: Cross multiply
    500,316,194x = 754,411,587 × 754,411,587
  4. Step 4: Simplify right side
    500,316,194x = 569,136,842,599,858,560
  5. Step 5: Solve for x
    x = 569,136,842,599,858,560/500,316,194
  6. Step 6: Final answer
    x = 1,137,554,309.51

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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.