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Finding the Third Proportional to 295,444.50 and 626,337

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Solution

The third proportional to 295,444.50 and 626,337 is: 1,327,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,444.50 : 626,337 = 626,337 : x
  2. Step 2: Convert to fraction form
    295,444.50/626,337 = 626,337/x
  3. Step 3: Cross multiply
    295,444.50x = 626,337 × 626,337
  4. Step 4: Simplify right side
    295,444.50x = 392,298,037,569
  5. Step 5: Solve for x
    x = 392,298,037,569/295,444.50
  6. Step 6: Final answer
    x = 1,327,823.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.