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Finding the Third Proportional to 242,282 and 530,908

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Solution

The third proportional to 242,282 and 530,908 is: 1,163,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,282 : 530,908 = 530,908 : x
  2. Step 2: Convert to fraction form
    242,282/530,908 = 530,908/x
  3. Step 3: Cross multiply
    242,282x = 530,908 × 530,908
  4. Step 4: Simplify right side
    242,282x = 281,863,304,464
  5. Step 5: Solve for x
    x = 281,863,304,464/242,282
  6. Step 6: Final answer
    x = 1,163,368.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.