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Finding the Third Proportional to 564,703.50 and 828,222

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Solution

The third proportional to 564,703.50 and 828,222 is: 1,214,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,703.50 : 828,222 = 828,222 : x
  2. Step 2: Convert to fraction form
    564,703.50/828,222 = 828,222/x
  3. Step 3: Cross multiply
    564,703.50x = 828,222 × 828,222
  4. Step 4: Simplify right side
    564,703.50x = 685,951,681,284
  5. Step 5: Solve for x
    x = 685,951,681,284/564,703.50
  6. Step 6: Final answer
    x = 1,214,711.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.