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Finding the Third Proportional to 585,315 and 875,476.50

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Solution

The third proportional to 585,315 and 875,476.50 is: 1,309,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,315 : 875,476.50 = 875,476.50 : x
  2. Step 2: Convert to fraction form
    585,315/875,476.50 = 875,476.50/x
  3. Step 3: Cross multiply
    585,315x = 875,476.50 × 875,476.50
  4. Step 4: Simplify right side
    585,315x = 766,459,102,052.25
  5. Step 5: Solve for x
    x = 766,459,102,052.25/585,315
  6. Step 6: Final answer
    x = 1,309,481.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.