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Finding the Third Proportional to 363,075.50 and 532,948.50

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Solution

The third proportional to 363,075.50 and 532,948.50 is: 782,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,075.50 : 532,948.50 = 532,948.50 : x
  2. Step 2: Convert to fraction form
    363,075.50/532,948.50 = 532,948.50/x
  3. Step 3: Cross multiply
    363,075.50x = 532,948.50 × 532,948.50
  4. Step 4: Simplify right side
    363,075.50x = 284,034,103,652.25
  5. Step 5: Solve for x
    x = 284,034,103,652.25/363,075.50
  6. Step 6: Final answer
    x = 782,300.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.