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Finding the Third Proportional to 302,805 and 470,197.50

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Solution

The third proportional to 302,805 and 470,197.50 is: 730,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805 : 470,197.50 = 470,197.50 : x
  2. Step 2: Convert to fraction form
    302,805/470,197.50 = 470,197.50/x
  3. Step 3: Cross multiply
    302,805x = 470,197.50 × 470,197.50
  4. Step 4: Simplify right side
    302,805x = 221,085,689,006.25
  5. Step 5: Solve for x
    x = 221,085,689,006.25/302,805
  6. Step 6: Final answer
    x = 730,125.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.