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Finding the Third Proportional to 295,164.50 and 652,349

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Solution

The third proportional to 295,164.50 and 652,349 is: 1,441,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164.50 : 652,349 = 652,349 : x
  2. Step 2: Convert to fraction form
    295,164.50/652,349 = 652,349/x
  3. Step 3: Cross multiply
    295,164.50x = 652,349 × 652,349
  4. Step 4: Simplify right side
    295,164.50x = 425,559,217,801
  5. Step 5: Solve for x
    x = 425,559,217,801/295,164.50
  6. Step 6: Final answer
    x = 1,441,769.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.