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Finding the Third Proportional to 374,218.50 and 586,246.50

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Solution

The third proportional to 374,218.50 and 586,246.50 is: 918,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,218.50 : 586,246.50 = 586,246.50 : x
  2. Step 2: Convert to fraction form
    374,218.50/586,246.50 = 586,246.50/x
  3. Step 3: Cross multiply
    374,218.50x = 586,246.50 × 586,246.50
  4. Step 4: Simplify right side
    374,218.50x = 343,684,958,762.25
  5. Step 5: Solve for x
    x = 343,684,958,762.25/374,218.50
  6. Step 6: Final answer
    x = 918,407.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.