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Finding the Third Proportional to 501,213 and 724,164

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Solution

The third proportional to 501,213 and 724,164 is: 1,046,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213 : 724,164 = 724,164 : x
  2. Step 2: Convert to fraction form
    501,213/724,164 = 724,164/x
  3. Step 3: Cross multiply
    501,213x = 724,164 × 724,164
  4. Step 4: Simplify right side
    501,213x = 524,413,498,896
  5. Step 5: Solve for x
    x = 524,413,498,896/501,213
  6. Step 6: Final answer
    x = 1,046,288.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.