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Finding the Third Proportional to 708,567,681 and 997,384,627.50

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Solution

The third proportional to 708,567,681 and 997,384,627.50 is: 1,403,925,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,567,681 : 997,384,627.50 = 997,384,627.50 : x
  2. Step 2: Convert to fraction form
    708,567,681/997,384,627.50 = 997,384,627.50/x
  3. Step 3: Cross multiply
    708,567,681x = 997,384,627.50 × 997,384,627.50
  4. Step 4: Simplify right side
    708,567,681x = 994,776,095,173,313,792
  5. Step 5: Solve for x
    x = 994,776,095,173,313,792/708,567,681
  6. Step 6: Final answer
    x = 1,403,925,301.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.