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Finding the Third Proportional to 263,748 and 578,037

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Solution

The third proportional to 263,748 and 578,037 is: 1,266,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,748 : 578,037 = 578,037 : x
  2. Step 2: Convert to fraction form
    263,748/578,037 = 578,037/x
  3. Step 3: Cross multiply
    263,748x = 578,037 × 578,037
  4. Step 4: Simplify right side
    263,748x = 334,126,773,369
  5. Step 5: Solve for x
    x = 334,126,773,369/263,748
  6. Step 6: Final answer
    x = 1,266,840.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.