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Finding the Third Proportional to 295,132.50 and 652,284

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Solution

The third proportional to 295,132.50 and 652,284 is: 1,441,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,132.50 : 652,284 = 652,284 : x
  2. Step 2: Convert to fraction form
    295,132.50/652,284 = 652,284/x
  3. Step 3: Cross multiply
    295,132.50x = 652,284 × 652,284
  4. Step 4: Simplify right side
    295,132.50x = 425,474,416,656
  5. Step 5: Solve for x
    x = 425,474,416,656/295,132.50
  6. Step 6: Final answer
    x = 1,441,638.64

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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.