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Finding the Third Proportional to 268,457 and 578,953

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Solution

The third proportional to 268,457 and 578,953 is: 1,248,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,457 : 578,953 = 578,953 : x
  2. Step 2: Convert to fraction form
    268,457/578,953 = 578,953/x
  3. Step 3: Cross multiply
    268,457x = 578,953 × 578,953
  4. Step 4: Simplify right side
    268,457x = 335,186,576,209
  5. Step 5: Solve for x
    x = 335,186,576,209/268,457
  6. Step 6: Final answer
    x = 1,248,567.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.