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Finding the Third Proportional to 708,567,684 and 997,384,631.50

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Solution

The third proportional to 708,567,684 and 997,384,631.50 is: 1,403,925,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,567,684 : 997,384,631.50 = 997,384,631.50 : x
  2. Step 2: Convert to fraction form
    708,567,684/997,384,631.50 = 997,384,631.50/x
  3. Step 3: Cross multiply
    708,567,684x = 997,384,631.50 × 997,384,631.50
  4. Step 4: Simplify right side
    708,567,684x = 994,776,103,152,390,784
  5. Step 5: Solve for x
    x = 994,776,103,152,390,784/708,567,684
  6. Step 6: Final answer
    x = 1,403,925,306.81

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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.