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Finding the Third Proportional to 374,232 and 586,384.50

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Solution

The third proportional to 374,232 and 586,384.50 is: 918,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,232 : 586,384.50 = 586,384.50 : x
  2. Step 2: Convert to fraction form
    374,232/586,384.50 = 586,384.50/x
  3. Step 3: Cross multiply
    374,232x = 586,384.50 × 586,384.50
  4. Step 4: Simplify right side
    374,232x = 343,846,781,840.25
  5. Step 5: Solve for x
    x = 343,846,781,840.25/374,232
  6. Step 6: Final answer
    x = 918,806.47

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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.