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Finding the Third Proportional to 543,538 and 898,332

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Solution

The third proportional to 543,538 and 898,332 is: 1,484,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,538 : 898,332 = 898,332 : x
  2. Step 2: Convert to fraction form
    543,538/898,332 = 898,332/x
  3. Step 3: Cross multiply
    543,538x = 898,332 × 898,332
  4. Step 4: Simplify right side
    543,538x = 807,000,382,224
  5. Step 5: Solve for x
    x = 807,000,382,224/543,538
  6. Step 6: Final answer
    x = 1,484,717.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.