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Finding the Third Proportional to 489,372 and 756,312

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Solution

The third proportional to 489,372 and 756,312 is: 1,168,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,372 : 756,312 = 756,312 : x
  2. Step 2: Convert to fraction form
    489,372/756,312 = 756,312/x
  3. Step 3: Cross multiply
    489,372x = 756,312 × 756,312
  4. Step 4: Simplify right side
    489,372x = 572,007,841,344
  5. Step 5: Solve for x
    x = 572,007,841,344/489,372
  6. Step 6: Final answer
    x = 1,168,860.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.