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Finding the Third Proportional to 366,080 and 537,240

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Solution

The third proportional to 366,080 and 537,240 is: 788,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,080 : 537,240 = 537,240 : x
  2. Step 2: Convert to fraction form
    366,080/537,240 = 537,240/x
  3. Step 3: Cross multiply
    366,080x = 537,240 × 537,240
  4. Step 4: Simplify right side
    366,080x = 288,626,817,600
  5. Step 5: Solve for x
    x = 288,626,817,600/366,080
  6. Step 6: Final answer
    x = 788,425.53

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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.