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Finding the Third Proportional to 359,854 and 537,798

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Solution

The third proportional to 359,854 and 537,798 is: 803,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,854 : 537,798 = 537,798 : x
  2. Step 2: Convert to fraction form
    359,854/537,798 = 537,798/x
  3. Step 3: Cross multiply
    359,854x = 537,798 × 537,798
  4. Step 4: Simplify right side
    359,854x = 289,226,688,804
  5. Step 5: Solve for x
    x = 289,226,688,804/359,854
  6. Step 6: Final answer
    x = 803,733.43

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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.