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Finding the Third Proportional to 466,081.59 and 719,728.03

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Solution

The third proportional to 466,081.59 and 719,728.03 is: 1,111,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,081.59 : 719,728.03 = 719,728.03 : x
  2. Step 2: Convert to fraction form
    466,081.59/719,728.03 = 719,728.03/x
  3. Step 3: Cross multiply
    466,081.59x = 719,728.03 × 719,728.03
  4. Step 4: Simplify right side
    466,081.59x = 518,008,438,967.00
  5. Step 5: Solve for x
    x = 518,008,438,967.00/466,081.59
  6. Step 6: Final answer
    x = 1,111,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.