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Finding the Third Proportional to 392,407.50 and 847,536

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Solution

The third proportional to 392,407.50 and 847,536 is: 1,830,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,407.50 : 847,536 = 847,536 : x
  2. Step 2: Convert to fraction form
    392,407.50/847,536 = 847,536/x
  3. Step 3: Cross multiply
    392,407.50x = 847,536 × 847,536
  4. Step 4: Simplify right side
    392,407.50x = 718,317,271,296
  5. Step 5: Solve for x
    x = 718,317,271,296/392,407.50
  6. Step 6: Final answer
    x = 1,830,539.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.