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Finding the Third Proportional to 508,230 and 748,263

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Solution

The third proportional to 508,230 and 748,263 is: 1,101,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,230 : 748,263 = 748,263 : x
  2. Step 2: Convert to fraction form
    508,230/748,263 = 748,263/x
  3. Step 3: Cross multiply
    508,230x = 748,263 × 748,263
  4. Step 4: Simplify right side
    508,230x = 559,897,517,169
  5. Step 5: Solve for x
    x = 559,897,517,169/508,230
  6. Step 6: Final answer
    x = 1,101,661.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.