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Finding the Third Proportional to 356,604 and 553,948

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Solution

The third proportional to 356,604 and 553,948 is: 860,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,604 : 553,948 = 553,948 : x
  2. Step 2: Convert to fraction form
    356,604/553,948 = 553,948/x
  3. Step 3: Cross multiply
    356,604x = 553,948 × 553,948
  4. Step 4: Simplify right side
    356,604x = 306,858,386,704
  5. Step 5: Solve for x
    x = 306,858,386,704/356,604
  6. Step 6: Final answer
    x = 860,501.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.