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Finding the Third Proportional to 218,528 and 472,048

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Solution

The third proportional to 218,528 and 472,048 is: 1,019,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,528 : 472,048 = 472,048 : x
  2. Step 2: Convert to fraction form
    218,528/472,048 = 472,048/x
  3. Step 3: Cross multiply
    218,528x = 472,048 × 472,048
  4. Step 4: Simplify right side
    218,528x = 222,829,314,304
  5. Step 5: Solve for x
    x = 222,829,314,304/218,528
  6. Step 6: Final answer
    x = 1,019,683.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.