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Finding the Third Proportional to 292,418 and 607,814

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Solution

The third proportional to 292,418 and 607,814 is: 1,263,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,418 : 607,814 = 607,814 : x
  2. Step 2: Convert to fraction form
    292,418/607,814 = 607,814/x
  3. Step 3: Cross multiply
    292,418x = 607,814 × 607,814
  4. Step 4: Simplify right side
    292,418x = 369,437,858,596
  5. Step 5: Solve for x
    x = 369,437,858,596/292,418
  6. Step 6: Final answer
    x = 1,263,389.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.