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Finding the Third Proportional to 549,302.50 and 823,411.50

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Solution

The third proportional to 549,302.50 and 823,411.50 is: 1,234,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,302.50 : 823,411.50 = 823,411.50 : x
  2. Step 2: Convert to fraction form
    549,302.50/823,411.50 = 823,411.50/x
  3. Step 3: Cross multiply
    549,302.50x = 823,411.50 × 823,411.50
  4. Step 4: Simplify right side
    549,302.50x = 678,006,498,332.25
  5. Step 5: Solve for x
    x = 678,006,498,332.25/549,302.50
  6. Step 6: Final answer
    x = 1,234,304.41

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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.