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Finding the Third Proportional to 359,859 and 537,804

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Solution

The third proportional to 359,859 and 537,804 is: 803,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,859 : 537,804 = 537,804 : x
  2. Step 2: Convert to fraction form
    359,859/537,804 = 537,804/x
  3. Step 3: Cross multiply
    359,859x = 537,804 × 537,804
  4. Step 4: Simplify right side
    359,859x = 289,233,142,416
  5. Step 5: Solve for x
    x = 289,233,142,416/359,859
  6. Step 6: Final answer
    x = 803,740.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.