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Finding the Third Proportional to 207,088.50 and 452,948.50

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Solution

The third proportional to 207,088.50 and 452,948.50 is: 990,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,088.50 : 452,948.50 = 452,948.50 : x
  2. Step 2: Convert to fraction form
    207,088.50/452,948.50 = 452,948.50/x
  3. Step 3: Cross multiply
    207,088.50x = 452,948.50 × 452,948.50
  4. Step 4: Simplify right side
    207,088.50x = 205,162,343,652.25
  5. Step 5: Solve for x
    x = 205,162,343,652.25/207,088.50
  6. Step 6: Final answer
    x = 990,698.87

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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.