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Finding the Third Proportional to 508,140 and 748,185

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Solution

The third proportional to 508,140 and 748,185 is: 1,101,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,140 : 748,185 = 748,185 : x
  2. Step 2: Convert to fraction form
    508,140/748,185 = 748,185/x
  3. Step 3: Cross multiply
    508,140x = 748,185 × 748,185
  4. Step 4: Simplify right side
    508,140x = 559,780,794,225
  5. Step 5: Solve for x
    x = 559,780,794,225/508,140
  6. Step 6: Final answer
    x = 1,101,627.10

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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.