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Finding the Third Proportional to 244,205 and 507,118

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Solution

The third proportional to 244,205 and 507,118 is: 1,053,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,205 : 507,118 = 507,118 : x
  2. Step 2: Convert to fraction form
    244,205/507,118 = 507,118/x
  3. Step 3: Cross multiply
    244,205x = 507,118 × 507,118
  4. Step 4: Simplify right side
    244,205x = 257,168,665,924
  5. Step 5: Solve for x
    x = 257,168,665,924/244,205
  6. Step 6: Final answer
    x = 1,053,085.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.