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Finding the Third Proportional to 305,572.50 and 472,316.06

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Solution

The third proportional to 305,572.50 and 472,316.06 is: 730,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,572.50 : 472,316.06 = 472,316.06 : x
  2. Step 2: Convert to fraction form
    305,572.50/472,316.06 = 472,316.06/x
  3. Step 3: Cross multiply
    305,572.50x = 472,316.06 × 472,316.06
  4. Step 4: Simplify right side
    305,572.50x = 223,082,462,895.50
  5. Step 5: Solve for x
    x = 223,082,462,895.50/305,572.50
  6. Step 6: Final answer
    x = 730,047.58

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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.