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Finding the Third Proportional to 432,069.75 and 946,792.13

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Solution

The third proportional to 432,069.75 and 946,792.13 is: 2,074,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,069.75 : 946,792.13 = 946,792.13 : x
  2. Step 2: Convert to fraction form
    432,069.75/946,792.13 = 946,792.13/x
  3. Step 3: Cross multiply
    432,069.75x = 946,792.13 × 946,792.13
  4. Step 4: Simplify right side
    432,069.75x = 896,415,327,962.02
  5. Step 5: Solve for x
    x = 896,415,327,962.02/432,069.75
  6. Step 6: Final answer
    x = 2,074,700.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.