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Finding the Third Proportional to 295,140 and 652,302

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Solution

The third proportional to 295,140 and 652,302 is: 1,441,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,140 : 652,302 = 652,302 : x
  2. Step 2: Convert to fraction form
    295,140/652,302 = 652,302/x
  3. Step 3: Cross multiply
    295,140x = 652,302 × 652,302
  4. Step 4: Simplify right side
    295,140x = 425,497,899,204
  5. Step 5: Solve for x
    x = 425,497,899,204/295,140
  6. Step 6: Final answer
    x = 1,441,681.57

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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.