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Finding the Third Proportional to 501,207 and 724,158

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Solution

The third proportional to 501,207 and 724,158 is: 1,046,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,207 : 724,158 = 724,158 : x
  2. Step 2: Convert to fraction form
    501,207/724,158 = 724,158/x
  3. Step 3: Cross multiply
    501,207x = 724,158 × 724,158
  4. Step 4: Simplify right side
    501,207x = 524,404,808,964
  5. Step 5: Solve for x
    x = 524,404,808,964/501,207
  6. Step 6: Final answer
    x = 1,046,283.89

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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.