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Finding the Third Proportional to 476,506 and 740,894

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Solution

The third proportional to 476,506 and 740,894 is: 1,151,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,506 : 740,894 = 740,894 : x
  2. Step 2: Convert to fraction form
    476,506/740,894 = 740,894/x
  3. Step 3: Cross multiply
    476,506x = 740,894 × 740,894
  4. Step 4: Simplify right side
    476,506x = 548,923,919,236
  5. Step 5: Solve for x
    x = 548,923,919,236/476,506
  6. Step 6: Final answer
    x = 1,151,976.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.