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Finding the Third Proportional to 564,993 and 837,715.50

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Solution

The third proportional to 564,993 and 837,715.50 is: 1,242,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,993 : 837,715.50 = 837,715.50 : x
  2. Step 2: Convert to fraction form
    564,993/837,715.50 = 837,715.50/x
  3. Step 3: Cross multiply
    564,993x = 837,715.50 × 837,715.50
  4. Step 4: Simplify right side
    564,993x = 701,767,258,940.25
  5. Step 5: Solve for x
    x = 701,767,258,940.25/564,993
  6. Step 6: Final answer
    x = 1,242,081.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.