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Finding the Third Proportional to 472,196 and 712,248

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Solution

The third proportional to 472,196 and 712,248 is: 1,074,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,196 : 712,248 = 712,248 : x
  2. Step 2: Convert to fraction form
    472,196/712,248 = 712,248/x
  3. Step 3: Cross multiply
    472,196x = 712,248 × 712,248
  4. Step 4: Simplify right side
    472,196x = 507,297,213,504
  5. Step 5: Solve for x
    x = 507,297,213,504/472,196
  6. Step 6: Final answer
    x = 1,074,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.