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Finding the Third Proportional to 527,928 and 849,998

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Solution

The third proportional to 527,928 and 849,998 is: 1,368,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,928 : 849,998 = 849,998 : x
  2. Step 2: Convert to fraction form
    527,928/849,998 = 849,998/x
  3. Step 3: Cross multiply
    527,928x = 849,998 × 849,998
  4. Step 4: Simplify right side
    527,928x = 722,496,600,004
  5. Step 5: Solve for x
    x = 722,496,600,004/527,928
  6. Step 6: Final answer
    x = 1,368,551.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.