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Finding the Third Proportional to 491,700 and 742,048

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Solution

The third proportional to 491,700 and 742,048 is: 1,119,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,700 : 742,048 = 742,048 : x
  2. Step 2: Convert to fraction form
    491,700/742,048 = 742,048/x
  3. Step 3: Cross multiply
    491,700x = 742,048 × 742,048
  4. Step 4: Simplify right side
    491,700x = 550,635,234,304
  5. Step 5: Solve for x
    x = 550,635,234,304/491,700
  6. Step 6: Final answer
    x = 1,119,860.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.