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Finding the Third Proportional to 559,070 and 744,861

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Solution

The third proportional to 559,070 and 744,861 is: 992,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,070 : 744,861 = 744,861 : x
  2. Step 2: Convert to fraction form
    559,070/744,861 = 744,861/x
  3. Step 3: Cross multiply
    559,070x = 744,861 × 744,861
  4. Step 4: Simplify right side
    559,070x = 554,817,909,321
  5. Step 5: Solve for x
    x = 554,817,909,321/559,070
  6. Step 6: Final answer
    x = 992,394.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.