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Finding the Third Proportional to 295,531 and 468,038

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Solution

The third proportional to 295,531 and 468,038 is: 741,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,531 : 468,038 = 468,038 : x
  2. Step 2: Convert to fraction form
    295,531/468,038 = 468,038/x
  3. Step 3: Cross multiply
    295,531x = 468,038 × 468,038
  4. Step 4: Simplify right side
    295,531x = 219,059,569,444
  5. Step 5: Solve for x
    x = 219,059,569,444/295,531
  6. Step 6: Final answer
    x = 741,240.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.