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Finding the Third Proportional to 690,421 and 932,803.50

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Solution

The third proportional to 690,421 and 932,803.50 is: 1,260,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,421 : 932,803.50 = 932,803.50 : x
  2. Step 2: Convert to fraction form
    690,421/932,803.50 = 932,803.50/x
  3. Step 3: Cross multiply
    690,421x = 932,803.50 × 932,803.50
  4. Step 4: Simplify right side
    690,421x = 870,122,369,612.25
  5. Step 5: Solve for x
    x = 870,122,369,612.25/690,421
  6. Step 6: Final answer
    x = 1,260,277.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.