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Finding the Third Proportional to 332,200,218 and 711,784,206

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Solution

The third proportional to 332,200,218 and 711,784,206 is: 1,525,094,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,200,218 : 711,784,206 = 711,784,206 : x
  2. Step 2: Convert to fraction form
    332,200,218/711,784,206 = 711,784,206/x
  3. Step 3: Cross multiply
    332,200,218x = 711,784,206 × 711,784,206
  4. Step 4: Simplify right side
    332,200,218x = 506,636,755,911,050,432
  5. Step 5: Solve for x
    x = 506,636,755,911,050,432/332,200,218
  6. Step 6: Final answer
    x = 1,525,094,591.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.