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Finding the Third Proportional to 453,750 and 573,430.50

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Solution

The third proportional to 453,750 and 573,430.50 is: 724,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,750 : 573,430.50 = 573,430.50 : x
  2. Step 2: Convert to fraction form
    453,750/573,430.50 = 573,430.50/x
  3. Step 3: Cross multiply
    453,750x = 573,430.50 × 573,430.50
  4. Step 4: Simplify right side
    453,750x = 328,822,538,330.25
  5. Step 5: Solve for x
    x = 328,822,538,330.25/453,750
  6. Step 6: Final answer
    x = 724,677.77

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.