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Finding the Third Proportional to 374,214.30 and 586,356.47

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Solution

The third proportional to 374,214.30 and 586,356.47 is: 918,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,214.30 : 586,356.47 = 586,356.47 : x
  2. Step 2: Convert to fraction form
    374,214.30/586,356.47 = 586,356.47/x
  3. Step 3: Cross multiply
    374,214.30x = 586,356.47 × 586,356.47
  4. Step 4: Simplify right side
    374,214.30x = 343,813,908,444.97
  5. Step 5: Solve for x
    x = 343,813,908,444.97/374,214.30
  6. Step 6: Final answer
    x = 918,762.07

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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.