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Finding the Third Proportional to 476,376 and 758,304

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Solution

The third proportional to 476,376 and 758,304 is: 1,207,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,376 : 758,304 = 758,304 : x
  2. Step 2: Convert to fraction form
    476,376/758,304 = 758,304/x
  3. Step 3: Cross multiply
    476,376x = 758,304 × 758,304
  4. Step 4: Simplify right side
    476,376x = 575,024,956,416
  5. Step 5: Solve for x
    x = 575,024,956,416/476,376
  6. Step 6: Final answer
    x = 1,207,082.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.