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Finding the Third Proportional to 457,131 and 714,820.50

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Solution

The third proportional to 457,131 and 714,820.50 is: 1,117,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,131 : 714,820.50 = 714,820.50 : x
  2. Step 2: Convert to fraction form
    457,131/714,820.50 = 714,820.50/x
  3. Step 3: Cross multiply
    457,131x = 714,820.50 × 714,820.50
  4. Step 4: Simplify right side
    457,131x = 510,968,347,220.25
  5. Step 5: Solve for x
    x = 510,968,347,220.25/457,131
  6. Step 6: Final answer
    x = 1,117,772.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.