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Finding the Third Proportional to 302,428.50 and 456,073.50

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Solution

The third proportional to 302,428.50 and 456,073.50 is: 687,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,428.50 : 456,073.50 = 456,073.50 : x
  2. Step 2: Convert to fraction form
    302,428.50/456,073.50 = 456,073.50/x
  3. Step 3: Cross multiply
    302,428.50x = 456,073.50 × 456,073.50
  4. Step 4: Simplify right side
    302,428.50x = 208,003,037,402.25
  5. Step 5: Solve for x
    x = 208,003,037,402.25/302,428.50
  6. Step 6: Final answer
    x = 687,775.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.