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Finding the Third Proportional to 245,316 and 537,288

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Solution

The third proportional to 245,316 and 537,288 is: 1,176,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,316 : 537,288 = 537,288 : x
  2. Step 2: Convert to fraction form
    245,316/537,288 = 537,288/x
  3. Step 3: Cross multiply
    245,316x = 537,288 × 537,288
  4. Step 4: Simplify right side
    245,316x = 288,678,394,944
  5. Step 5: Solve for x
    x = 288,678,394,944/245,316
  6. Step 6: Final answer
    x = 1,176,761.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.