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Finding the Third Proportional to 387,612,733.50 and 595,788,799.50

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Solution

The third proportional to 387,612,733.50 and 595,788,799.50 is: 915,770,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,612,733.50 : 595,788,799.50 = 595,788,799.50 : x
  2. Step 2: Convert to fraction form
    387,612,733.50/595,788,799.50 = 595,788,799.50/x
  3. Step 3: Cross multiply
    387,612,733.50x = 595,788,799.50 × 595,788,799.50
  4. Step 4: Simplify right side
    387,612,733.50x = 354,964,293,609,651,200
  5. Step 5: Solve for x
    x = 354,964,293,609,651,200/387,612,733.50
  6. Step 6: Final answer
    x = 915,770,466.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.