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Finding the Third Proportional to 452,214.56 and 719,833.50

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Solution

The third proportional to 452,214.56 and 719,833.50 is: 1,145,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,214.56 : 719,833.50 = 719,833.50 : x
  2. Step 2: Convert to fraction form
    452,214.56/719,833.50 = 719,833.50/x
  3. Step 3: Cross multiply
    452,214.56x = 719,833.50 × 719,833.50
  4. Step 4: Simplify right side
    452,214.56x = 518,160,267,722.25
  5. Step 5: Solve for x
    x = 518,160,267,722.25/452,214.56
  6. Step 6: Final answer
    x = 1,145,828.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.