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Finding the Third Proportional to 302,869.13 and 470,280.94

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Solution

The third proportional to 302,869.13 and 470,280.94 is: 730,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,869.13 : 470,280.94 = 470,280.94 : x
  2. Step 2: Convert to fraction form
    302,869.13/470,280.94 = 470,280.94/x
  3. Step 3: Cross multiply
    302,869.13x = 470,280.94 × 470,280.94
  4. Step 4: Simplify right side
    302,869.13x = 221,164,160,175.88
  5. Step 5: Solve for x
    x = 221,164,160,175.88/302,869.13
  6. Step 6: Final answer
    x = 730,230.13

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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.