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Finding the Third Proportional to 527,916 and 849,978

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Solution

The third proportional to 527,916 and 849,978 is: 1,368,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,916 : 849,978 = 849,978 : x
  2. Step 2: Convert to fraction form
    527,916/849,978 = 849,978/x
  3. Step 3: Cross multiply
    527,916x = 849,978 × 849,978
  4. Step 4: Simplify right side
    527,916x = 722,462,600,484
  5. Step 5: Solve for x
    x = 722,462,600,484/527,916
  6. Step 6: Final answer
    x = 1,368,518.10

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