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Finding the Third Proportional to 302,465 and 411,025.50

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Solution

The third proportional to 302,465 and 411,025.50 is: 558,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,465 : 411,025.50 = 411,025.50 : x
  2. Step 2: Convert to fraction form
    302,465/411,025.50 = 411,025.50/x
  3. Step 3: Cross multiply
    302,465x = 411,025.50 × 411,025.50
  4. Step 4: Simplify right side
    302,465x = 168,941,961,650.25
  5. Step 5: Solve for x
    x = 168,941,961,650.25/302,465
  6. Step 6: Final answer
    x = 558,550.45

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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.