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Finding the Third Proportional to 532,094.06 and 826,124.06

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Solution

The third proportional to 532,094.06 and 826,124.06 is: 1,282,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,094.06 : 826,124.06 = 826,124.06 : x
  2. Step 2: Convert to fraction form
    532,094.06/826,124.06 = 826,124.06/x
  3. Step 3: Cross multiply
    532,094.06x = 826,124.06 × 826,124.06
  4. Step 4: Simplify right side
    532,094.06x = 682,480,966,641.50
  5. Step 5: Solve for x
    x = 682,480,966,641.50/532,094.06
  6. Step 6: Final answer
    x = 1,282,632.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.