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Finding the Third Proportional to 690,424 and 932,808

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Solution

The third proportional to 690,424 and 932,808 is: 1,260,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,424 : 932,808 = 932,808 : x
  2. Step 2: Convert to fraction form
    690,424/932,808 = 932,808/x
  3. Step 3: Cross multiply
    690,424x = 932,808 × 932,808
  4. Step 4: Simplify right side
    690,424x = 870,130,764,864
  5. Step 5: Solve for x
    x = 870,130,764,864/690,424
  6. Step 6: Final answer
    x = 1,260,284.64

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Why These Related Problems?

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