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Finding the Third Proportional to 335,547.56 and 508,204.13

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Solution

The third proportional to 335,547.56 and 508,204.13 is: 769,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,547.56 : 508,204.13 = 508,204.13 : x
  2. Step 2: Convert to fraction form
    335,547.56/508,204.13 = 508,204.13/x
  3. Step 3: Cross multiply
    335,547.56x = 508,204.13 × 508,204.13
  4. Step 4: Simplify right side
    335,547.56x = 258,271,432,667.02
  5. Step 5: Solve for x
    x = 258,271,432,667.02/335,547.56
  6. Step 6: Final answer
    x = 769,701.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.