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Finding the Third Proportional to 664,246 and 1,057,457.50

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Solution

The third proportional to 664,246 and 1,057,457.50 is: 1,683,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,246 : 1,057,457.50 = 1,057,457.50 : x
  2. Step 2: Convert to fraction form
    664,246/1,057,457.50 = 1,057,457.50/x
  3. Step 3: Cross multiply
    664,246x = 1,057,457.50 × 1,057,457.50
  4. Step 4: Simplify right side
    664,246x = 1,118,216,364,306.25
  5. Step 5: Solve for x
    x = 1,118,216,364,306.25/664,246
  6. Step 6: Final answer
    x = 1,683,437.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.