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Finding the Third Proportional to 352,582.50 and 761,265

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Solution

The third proportional to 352,582.50 and 761,265 is: 1,643,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,582.50 : 761,265 = 761,265 : x
  2. Step 2: Convert to fraction form
    352,582.50/761,265 = 761,265/x
  3. Step 3: Cross multiply
    352,582.50x = 761,265 × 761,265
  4. Step 4: Simplify right side
    352,582.50x = 579,524,400,225
  5. Step 5: Solve for x
    x = 579,524,400,225/352,582.50
  6. Step 6: Final answer
    x = 1,643,656.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.