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Finding the Third Proportional to 508,080 and 748,084

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Solution

The third proportional to 508,080 and 748,084 is: 1,101,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,080 : 748,084 = 748,084 : x
  2. Step 2: Convert to fraction form
    508,080/748,084 = 748,084/x
  3. Step 3: Cross multiply
    508,080x = 748,084 × 748,084
  4. Step 4: Simplify right side
    508,080x = 559,629,671,056
  5. Step 5: Solve for x
    x = 559,629,671,056/508,080
  6. Step 6: Final answer
    x = 1,101,459.75

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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.