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Finding the Third Proportional to 508,057 and 748,048

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Solution

The third proportional to 508,057 and 748,048 is: 1,101,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,057 : 748,048 = 748,048 : x
  2. Step 2: Convert to fraction form
    508,057/748,048 = 748,048/x
  3. Step 3: Cross multiply
    508,057x = 748,048 × 748,048
  4. Step 4: Simplify right side
    508,057x = 559,575,810,304
  5. Step 5: Solve for x
    x = 559,575,810,304/508,057
  6. Step 6: Final answer
    x = 1,101,403.60

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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.