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Finding the Third Proportional to 232,074 and 506,418

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Solution

The third proportional to 232,074 and 506,418 is: 1,105,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,074 : 506,418 = 506,418 : x
  2. Step 2: Convert to fraction form
    232,074/506,418 = 506,418/x
  3. Step 3: Cross multiply
    232,074x = 506,418 × 506,418
  4. Step 4: Simplify right side
    232,074x = 256,459,190,724
  5. Step 5: Solve for x
    x = 256,459,190,724/232,074
  6. Step 6: Final answer
    x = 1,105,075.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.