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Finding the Third Proportional to 473,724 and 708,336

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Solution

The third proportional to 473,724 and 708,336 is: 1,059,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,724 : 708,336 = 708,336 : x
  2. Step 2: Convert to fraction form
    473,724/708,336 = 708,336/x
  3. Step 3: Cross multiply
    473,724x = 708,336 × 708,336
  4. Step 4: Simplify right side
    473,724x = 501,739,888,896
  5. Step 5: Solve for x
    x = 501,739,888,896/473,724
  6. Step 6: Final answer
    x = 1,059,139.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.