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Finding the Third Proportional to 360,679 and 562,854

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Solution

The third proportional to 360,679 and 562,854 is: 878,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,679 : 562,854 = 562,854 : x
  2. Step 2: Convert to fraction form
    360,679/562,854 = 562,854/x
  3. Step 3: Cross multiply
    360,679x = 562,854 × 562,854
  4. Step 4: Simplify right side
    360,679x = 316,804,625,316
  5. Step 5: Solve for x
    x = 316,804,625,316/360,679
  6. Step 6: Final answer
    x = 878,356.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.