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Finding the Third Proportional to 459,984 and 698,278.50

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Solution

The third proportional to 459,984 and 698,278.50 is: 1,060,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,984 : 698,278.50 = 698,278.50 : x
  2. Step 2: Convert to fraction form
    459,984/698,278.50 = 698,278.50/x
  3. Step 3: Cross multiply
    459,984x = 698,278.50 × 698,278.50
  4. Step 4: Simplify right side
    459,984x = 487,592,863,562.25
  5. Step 5: Solve for x
    x = 487,592,863,562.25/459,984
  6. Step 6: Final answer
    x = 1,060,021.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.