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Finding the Third Proportional to 269,547.75 and 578,461.50

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Solution

The third proportional to 269,547.75 and 578,461.50 is: 1,241,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,547.75 : 578,461.50 = 578,461.50 : x
  2. Step 2: Convert to fraction form
    269,547.75/578,461.50 = 578,461.50/x
  3. Step 3: Cross multiply
    269,547.75x = 578,461.50 × 578,461.50
  4. Step 4: Simplify right side
    269,547.75x = 334,617,706,982.25
  5. Step 5: Solve for x
    x = 334,617,706,982.25/269,547.75
  6. Step 6: Final answer
    x = 1,241,404.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.