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Finding the Third Proportional to 485,752 and 760,281

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Solution

The third proportional to 485,752 and 760,281 is: 1,189,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,752 : 760,281 = 760,281 : x
  2. Step 2: Convert to fraction form
    485,752/760,281 = 760,281/x
  3. Step 3: Cross multiply
    485,752x = 760,281 × 760,281
  4. Step 4: Simplify right side
    485,752x = 578,027,198,961
  5. Step 5: Solve for x
    x = 578,027,198,961/485,752
  6. Step 6: Final answer
    x = 1,189,963.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.