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Finding the Third Proportional to 302,572.50 and 411,139.50

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Solution

The third proportional to 302,572.50 and 411,139.50 is: 558,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,572.50 : 411,139.50 = 411,139.50 : x
  2. Step 2: Convert to fraction form
    302,572.50/411,139.50 = 411,139.50/x
  3. Step 3: Cross multiply
    302,572.50x = 411,139.50 × 411,139.50
  4. Step 4: Simplify right side
    302,572.50x = 169,035,688,460.25
  5. Step 5: Solve for x
    x = 169,035,688,460.25/302,572.50
  6. Step 6: Final answer
    x = 558,661.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.