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Finding the Third Proportional to 319,702.50 and 477,360

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Solution

The third proportional to 319,702.50 and 477,360 is: 712,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,702.50 : 477,360 = 477,360 : x
  2. Step 2: Convert to fraction form
    319,702.50/477,360 = 477,360/x
  3. Step 3: Cross multiply
    319,702.50x = 477,360 × 477,360
  4. Step 4: Simplify right side
    319,702.50x = 227,872,569,600
  5. Step 5: Solve for x
    x = 227,872,569,600/319,702.50
  6. Step 6: Final answer
    x = 712,764.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.