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Finding the Third Proportional to 259,270 and 392,527

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Solution

The third proportional to 259,270 and 392,527 is: 594,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,270 : 392,527 = 392,527 : x
  2. Step 2: Convert to fraction form
    259,270/392,527 = 392,527/x
  3. Step 3: Cross multiply
    259,270x = 392,527 × 392,527
  4. Step 4: Simplify right side
    259,270x = 154,077,445,729
  5. Step 5: Solve for x
    x = 154,077,445,729/259,270
  6. Step 6: Final answer
    x = 594,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.