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Finding the Third Proportional to 295,464 and 712,348.50

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Solution

The third proportional to 295,464 and 712,348.50 is: 1,717,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,464 : 712,348.50 = 712,348.50 : x
  2. Step 2: Convert to fraction form
    295,464/712,348.50 = 712,348.50/x
  3. Step 3: Cross multiply
    295,464x = 712,348.50 × 712,348.50
  4. Step 4: Simplify right side
    295,464x = 507,440,385,452.25
  5. Step 5: Solve for x
    x = 507,440,385,452.25/295,464
  6. Step 6: Final answer
    x = 1,717,435.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.