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Finding the Third Proportional to 521,743.50 and 744,341.63

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Solution

The third proportional to 521,743.50 and 744,341.63 is: 1,061,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,743.50 : 744,341.63 = 744,341.63 : x
  2. Step 2: Convert to fraction form
    521,743.50/744,341.63 = 744,341.63/x
  3. Step 3: Cross multiply
    521,743.50x = 744,341.63 × 744,341.63
  4. Step 4: Simplify right side
    521,743.50x = 554,044,454,707.64
  5. Step 5: Solve for x
    x = 554,044,454,707.64/521,743.50
  6. Step 6: Final answer
    x = 1,061,909.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.