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Finding the Third Proportional to 302,895.75 and 470,323.13

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Solution

The third proportional to 302,895.75 and 470,323.13 is: 730,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,895.75 : 470,323.13 = 470,323.13 : x
  2. Step 2: Convert to fraction form
    302,895.75/470,323.13 = 470,323.13/x
  3. Step 3: Cross multiply
    302,895.75x = 470,323.13 × 470,323.13
  4. Step 4: Simplify right side
    302,895.75x = 221,203,841,909.77
  5. Step 5: Solve for x
    x = 221,203,841,909.77/302,895.75
  6. Step 6: Final answer
    x = 730,296.95

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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.