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Finding the Third Proportional to 302,937 and 475,318.50

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Solution

The third proportional to 302,937 and 475,318.50 is: 745,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,937 : 475,318.50 = 475,318.50 : x
  2. Step 2: Convert to fraction form
    302,937/475,318.50 = 475,318.50/x
  3. Step 3: Cross multiply
    302,937x = 475,318.50 × 475,318.50
  4. Step 4: Simplify right side
    302,937x = 225,927,676,442.25
  5. Step 5: Solve for x
    x = 225,927,676,442.25/302,937
  6. Step 6: Final answer
    x = 745,790.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.