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Finding the Third Proportional to 409,090.50 and 875,038.50

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Solution

The third proportional to 409,090.50 and 875,038.50 is: 1,871,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,090.50 : 875,038.50 = 875,038.50 : x
  2. Step 2: Convert to fraction form
    409,090.50/875,038.50 = 875,038.50/x
  3. Step 3: Cross multiply
    409,090.50x = 875,038.50 × 875,038.50
  4. Step 4: Simplify right side
    409,090.50x = 765,692,376,482.25
  5. Step 5: Solve for x
    x = 765,692,376,482.25/409,090.50
  6. Step 6: Final answer
    x = 1,871,694.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.