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Finding the Third Proportional to 453,472 and 707,784

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Solution

The third proportional to 453,472 and 707,784 is: 1,104,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,472 : 707,784 = 707,784 : x
  2. Step 2: Convert to fraction form
    453,472/707,784 = 707,784/x
  3. Step 3: Cross multiply
    453,472x = 707,784 × 707,784
  4. Step 4: Simplify right side
    453,472x = 500,958,190,656
  5. Step 5: Solve for x
    x = 500,958,190,656/453,472
  6. Step 6: Final answer
    x = 1,104,716.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.