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Finding the Third Proportional to 473,325 and 714,915.50

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Solution

The third proportional to 473,325 and 714,915.50 is: 1,079,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,325 : 714,915.50 = 714,915.50 : x
  2. Step 2: Convert to fraction form
    473,325/714,915.50 = 714,915.50/x
  3. Step 3: Cross multiply
    473,325x = 714,915.50 × 714,915.50
  4. Step 4: Simplify right side
    473,325x = 511,104,172,140.25
  5. Step 5: Solve for x
    x = 511,104,172,140.25/473,325
  6. Step 6: Final answer
    x = 1,079,816.56

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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.