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Finding the Third Proportional to 284,548 and 609,666

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Solution

The third proportional to 284,548 and 609,666 is: 1,306,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,548 : 609,666 = 609,666 : x
  2. Step 2: Convert to fraction form
    284,548/609,666 = 609,666/x
  3. Step 3: Cross multiply
    284,548x = 609,666 × 609,666
  4. Step 4: Simplify right side
    284,548x = 371,692,631,556
  5. Step 5: Solve for x
    x = 371,692,631,556/284,548
  6. Step 6: Final answer
    x = 1,306,256.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.