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Finding the Third Proportional to 426,784 and 932,312

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Solution

The third proportional to 426,784 and 932,312 is: 2,036,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,784 : 932,312 = 932,312 : x
  2. Step 2: Convert to fraction form
    426,784/932,312 = 932,312/x
  3. Step 3: Cross multiply
    426,784x = 932,312 × 932,312
  4. Step 4: Simplify right side
    426,784x = 869,205,665,344
  5. Step 5: Solve for x
    x = 869,205,665,344/426,784
  6. Step 6: Final answer
    x = 2,036,640.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.