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Finding the Third Proportional to 287,186.50 and 626,596

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Solution

The third proportional to 287,186.50 and 626,596 is: 1,367,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,186.50 : 626,596 = 626,596 : x
  2. Step 2: Convert to fraction form
    287,186.50/626,596 = 626,596/x
  3. Step 3: Cross multiply
    287,186.50x = 626,596 × 626,596
  4. Step 4: Simplify right side
    287,186.50x = 392,622,547,216
  5. Step 5: Solve for x
    x = 392,622,547,216/287,186.50
  6. Step 6: Final answer
    x = 1,367,134.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.