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Finding the Third Proportional to 497,587,701 and 736,590,352.50

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Solution

The third proportional to 497,587,701 and 736,590,352.50 is: 1,090,391,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,587,701 : 736,590,352.50 = 736,590,352.50 : x
  2. Step 2: Convert to fraction form
    497,587,701/736,590,352.50 = 736,590,352.50/x
  3. Step 3: Cross multiply
    497,587,701x = 736,590,352.50 × 736,590,352.50
  4. Step 4: Simplify right side
    497,587,701x = 542,565,347,396,074,240
  5. Step 5: Solve for x
    x = 542,565,347,396,074,240/497,587,701
  6. Step 6: Final answer
    x = 1,090,391,394.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.