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Finding the Third Proportional to 310,533.50 and 665,333.50

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Solution

The third proportional to 310,533.50 and 665,333.50 is: 1,425,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533.50 : 665,333.50 = 665,333.50 : x
  2. Step 2: Convert to fraction form
    310,533.50/665,333.50 = 665,333.50/x
  3. Step 3: Cross multiply
    310,533.50x = 665,333.50 × 665,333.50
  4. Step 4: Simplify right side
    310,533.50x = 442,668,666,222.25
  5. Step 5: Solve for x
    x = 442,668,666,222.25/310,533.50
  6. Step 6: Final answer
    x = 1,425,510.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.