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Finding the Third Proportional to 373,852.13 and 560,638.50

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Solution

The third proportional to 373,852.13 and 560,638.50 is: 840,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,852.13 : 560,638.50 = 560,638.50 : x
  2. Step 2: Convert to fraction form
    373,852.13/560,638.50 = 560,638.50/x
  3. Step 3: Cross multiply
    373,852.13x = 560,638.50 × 560,638.50
  4. Step 4: Simplify right side
    373,852.13x = 314,315,527,682.25
  5. Step 5: Solve for x
    x = 314,315,527,682.25/373,852.13
  6. Step 6: Final answer
    x = 840,748.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.