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Finding the Third Proportional to 452,724 and 663,048

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Solution

The third proportional to 452,724 and 663,048 is: 971,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,724 : 663,048 = 663,048 : x
  2. Step 2: Convert to fraction form
    452,724/663,048 = 663,048/x
  3. Step 3: Cross multiply
    452,724x = 663,048 × 663,048
  4. Step 4: Simplify right side
    452,724x = 439,632,650,304
  5. Step 5: Solve for x
    x = 439,632,650,304/452,724
  6. Step 6: Final answer
    x = 971,083.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.