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Finding the Third Proportional to 245,666 and 532,804

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Solution

The third proportional to 245,666 and 532,804 is: 1,155,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,666 : 532,804 = 532,804 : x
  2. Step 2: Convert to fraction form
    245,666/532,804 = 532,804/x
  3. Step 3: Cross multiply
    245,666x = 532,804 × 532,804
  4. Step 4: Simplify right side
    245,666x = 283,880,102,416
  5. Step 5: Solve for x
    x = 283,880,102,416/245,666
  6. Step 6: Final answer
    x = 1,155,553.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.