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Finding the Third Proportional to 282,521 and 609,862

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Solution

The third proportional to 282,521 and 609,862 is: 1,316,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,521 : 609,862 = 609,862 : x
  2. Step 2: Convert to fraction form
    282,521/609,862 = 609,862/x
  3. Step 3: Cross multiply
    282,521x = 609,862 × 609,862
  4. Step 4: Simplify right side
    282,521x = 371,931,659,044
  5. Step 5: Solve for x
    x = 371,931,659,044/282,521
  6. Step 6: Final answer
    x = 1,316,474.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.