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Finding the Third Proportional to 535,270 and 781,548

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Solution

The third proportional to 535,270 and 781,548 is: 1,141,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,270 : 781,548 = 781,548 : x
  2. Step 2: Convert to fraction form
    535,270/781,548 = 781,548/x
  3. Step 3: Cross multiply
    535,270x = 781,548 × 781,548
  4. Step 4: Simplify right side
    535,270x = 610,817,276,304
  5. Step 5: Solve for x
    x = 610,817,276,304/535,270
  6. Step 6: Final answer
    x = 1,141,138.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.