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Finding the Third Proportional to 297,955 and 425,632.50

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Solution

The third proportional to 297,955 and 425,632.50 is: 608,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,955 : 425,632.50 = 425,632.50 : x
  2. Step 2: Convert to fraction form
    297,955/425,632.50 = 425,632.50/x
  3. Step 3: Cross multiply
    297,955x = 425,632.50 × 425,632.50
  4. Step 4: Simplify right side
    297,955x = 181,163,025,056.25
  5. Step 5: Solve for x
    x = 181,163,025,056.25/297,955
  6. Step 6: Final answer
    x = 608,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.