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Finding the Third Proportional to 209,710 and 452,792

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Solution

The third proportional to 209,710 and 452,792 is: 977,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,710 : 452,792 = 452,792 : x
  2. Step 2: Convert to fraction form
    209,710/452,792 = 452,792/x
  3. Step 3: Cross multiply
    209,710x = 452,792 × 452,792
  4. Step 4: Simplify right side
    209,710x = 205,020,595,264
  5. Step 5: Solve for x
    x = 205,020,595,264/209,710
  6. Step 6: Final answer
    x = 977,638.62

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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.