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Finding the Third Proportional to 423,740 and 932,776

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Solution

The third proportional to 423,740 and 932,776 is: 2,053,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,740 : 932,776 = 932,776 : x
  2. Step 2: Convert to fraction form
    423,740/932,776 = 932,776/x
  3. Step 3: Cross multiply
    423,740x = 932,776 × 932,776
  4. Step 4: Simplify right side
    423,740x = 870,071,066,176
  5. Step 5: Solve for x
    x = 870,071,066,176/423,740
  6. Step 6: Final answer
    x = 2,053,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.