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Finding the Third Proportional to 484,908 and 652,278

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Solution

The third proportional to 484,908 and 652,278 is: 877,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,908 : 652,278 = 652,278 : x
  2. Step 2: Convert to fraction form
    484,908/652,278 = 652,278/x
  3. Step 3: Cross multiply
    484,908x = 652,278 × 652,278
  4. Step 4: Simplify right side
    484,908x = 425,466,589,284
  5. Step 5: Solve for x
    x = 425,466,589,284/484,908
  6. Step 6: Final answer
    x = 877,417.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.