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Finding the Third Proportional to 480,363 and 695,757

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Solution

The third proportional to 480,363 and 695,757 is: 1,007,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,363 : 695,757 = 695,757 : x
  2. Step 2: Convert to fraction form
    480,363/695,757 = 695,757/x
  3. Step 3: Cross multiply
    480,363x = 695,757 × 695,757
  4. Step 4: Simplify right side
    480,363x = 484,077,803,049
  5. Step 5: Solve for x
    x = 484,077,803,049/480,363
  6. Step 6: Final answer
    x = 1,007,733.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.