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Finding the Third Proportional to 508,074 and 748,075

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Solution

The third proportional to 508,074 and 748,075 is: 1,101,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,074 : 748,075 = 748,075 : x
  2. Step 2: Convert to fraction form
    508,074/748,075 = 748,075/x
  3. Step 3: Cross multiply
    508,074x = 748,075 × 748,075
  4. Step 4: Simplify right side
    508,074x = 559,616,205,625
  5. Step 5: Solve for x
    x = 559,616,205,625/508,074
  6. Step 6: Final answer
    x = 1,101,446.26

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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.