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Finding the Third Proportional to 359,140.25 and 535,596

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Solution

The third proportional to 359,140.25 and 535,596 is: 798,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,140.25 : 535,596 = 535,596 : x
  2. Step 2: Convert to fraction form
    359,140.25/535,596 = 535,596/x
  3. Step 3: Cross multiply
    359,140.25x = 535,596 × 535,596
  4. Step 4: Simplify right side
    359,140.25x = 286,863,075,216
  5. Step 5: Solve for x
    x = 286,863,075,216/359,140.25
  6. Step 6: Final answer
    x = 798,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.