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Finding the Third Proportional to 242,442 and 528,948

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Solution

The third proportional to 242,442 and 528,948 is: 1,154,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,442 : 528,948 = 528,948 : x
  2. Step 2: Convert to fraction form
    242,442/528,948 = 528,948/x
  3. Step 3: Cross multiply
    242,442x = 528,948 × 528,948
  4. Step 4: Simplify right side
    242,442x = 279,785,986,704
  5. Step 5: Solve for x
    x = 279,785,986,704/242,442
  6. Step 6: Final answer
    x = 1,154,032.66

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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.