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Finding the Third Proportional to 456,768 and 702,624

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Solution

The third proportional to 456,768 and 702,624 is: 1,080,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,768 : 702,624 = 702,624 : x
  2. Step 2: Convert to fraction form
    456,768/702,624 = 702,624/x
  3. Step 3: Cross multiply
    456,768x = 702,624 × 702,624
  4. Step 4: Simplify right side
    456,768x = 493,680,485,376
  5. Step 5: Solve for x
    x = 493,680,485,376/456,768
  6. Step 6: Final answer
    x = 1,080,812.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.