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Finding the Third Proportional to 312,543.56 and 466,970.06

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Solution

The third proportional to 312,543.56 and 466,970.06 is: 697,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,543.56 : 466,970.06 = 466,970.06 : x
  2. Step 2: Convert to fraction form
    312,543.56/466,970.06 = 466,970.06/x
  3. Step 3: Cross multiply
    312,543.56x = 466,970.06 × 466,970.06
  4. Step 4: Simplify right side
    312,543.56x = 218,061,039,271.25
  5. Step 5: Solve for x
    x = 218,061,039,271.25/312,543.56
  6. Step 6: Final answer
    x = 697,698.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.