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Finding the Third Proportional to 558,196 and 1,175,688

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Solution

The third proportional to 558,196 and 1,175,688 is: 2,476,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,196 : 1,175,688 = 1,175,688 : x
  2. Step 2: Convert to fraction form
    558,196/1,175,688 = 1,175,688/x
  3. Step 3: Cross multiply
    558,196x = 1,175,688 × 1,175,688
  4. Step 4: Simplify right side
    558,196x = 1,382,242,273,344
  5. Step 5: Solve for x
    x = 1,382,242,273,344/558,196
  6. Step 6: Final answer
    x = 2,476,266.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.