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Finding the Third Proportional to 290,229 and 448,477.50

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Solution

The third proportional to 290,229 and 448,477.50 is: 693,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,229 : 448,477.50 = 448,477.50 : x
  2. Step 2: Convert to fraction form
    290,229/448,477.50 = 448,477.50/x
  3. Step 3: Cross multiply
    290,229x = 448,477.50 × 448,477.50
  4. Step 4: Simplify right side
    290,229x = 201,132,068,006.25
  5. Step 5: Solve for x
    x = 201,132,068,006.25/290,229
  6. Step 6: Final answer
    x = 693,011.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.