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Finding the Third Proportional to 564,705 and 848,308.50

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Solution

The third proportional to 564,705 and 848,308.50 is: 1,274,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,705 : 848,308.50 = 848,308.50 : x
  2. Step 2: Convert to fraction form
    564,705/848,308.50 = 848,308.50/x
  3. Step 3: Cross multiply
    564,705x = 848,308.50 × 848,308.50
  4. Step 4: Simplify right side
    564,705x = 719,627,311,172.25
  5. Step 5: Solve for x
    x = 719,627,311,172.25/564,705
  6. Step 6: Final answer
    x = 1,274,342.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.