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Finding the Third Proportional to 457,618.50 and 692,343

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Solution

The third proportional to 457,618.50 and 692,343 is: 1,047,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,618.50 : 692,343 = 692,343 : x
  2. Step 2: Convert to fraction form
    457,618.50/692,343 = 692,343/x
  3. Step 3: Cross multiply
    457,618.50x = 692,343 × 692,343
  4. Step 4: Simplify right side
    457,618.50x = 479,338,829,649
  5. Step 5: Solve for x
    x = 479,338,829,649/457,618.50
  6. Step 6: Final answer
    x = 1,047,463.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.