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Finding the Third Proportional to 302,805 and 657,124.50

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Solution

The third proportional to 302,805 and 657,124.50 is: 1,426,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805 : 657,124.50 = 657,124.50 : x
  2. Step 2: Convert to fraction form
    302,805/657,124.50 = 657,124.50/x
  3. Step 3: Cross multiply
    302,805x = 657,124.50 × 657,124.50
  4. Step 4: Simplify right side
    302,805x = 431,812,608,500.25
  5. Step 5: Solve for x
    x = 431,812,608,500.25/302,805
  6. Step 6: Final answer
    x = 1,426,041.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.