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Finding the Third Proportional to 399,941,070 and 623,294,325

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Solution

The third proportional to 399,941,070 and 623,294,325 is: 971,382,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,941,070 : 623,294,325 = 623,294,325 : x
  2. Step 2: Convert to fraction form
    399,941,070/623,294,325 = 623,294,325/x
  3. Step 3: Cross multiply
    399,941,070x = 623,294,325 × 623,294,325
  4. Step 4: Simplify right side
    399,941,070x = 388,495,815,577,205,632
  5. Step 5: Solve for x
    x = 388,495,815,577,205,632/399,941,070
  6. Step 6: Final answer
    x = 971,382,647.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.