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Finding the Third Proportional to 284,164 and 424,301

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Solution

The third proportional to 284,164 and 424,301 is: 633,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,164 : 424,301 = 424,301 : x
  2. Step 2: Convert to fraction form
    284,164/424,301 = 424,301/x
  3. Step 3: Cross multiply
    284,164x = 424,301 × 424,301
  4. Step 4: Simplify right side
    284,164x = 180,031,338,601
  5. Step 5: Solve for x
    x = 180,031,338,601/284,164
  6. Step 6: Final answer
    x = 633,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.