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Finding the Third Proportional to 553,748 and 867,532

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Solution

The third proportional to 553,748 and 867,532 is: 1,359,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,748 : 867,532 = 867,532 : x
  2. Step 2: Convert to fraction form
    553,748/867,532 = 867,532/x
  3. Step 3: Cross multiply
    553,748x = 867,532 × 867,532
  4. Step 4: Simplify right side
    553,748x = 752,611,771,024
  5. Step 5: Solve for x
    x = 752,611,771,024/553,748
  6. Step 6: Final answer
    x = 1,359,123.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.