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Finding the Third Proportional to 591,196 and 917,155.50

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Solution

The third proportional to 591,196 and 917,155.50 is: 1,422,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,196 : 917,155.50 = 917,155.50 : x
  2. Step 2: Convert to fraction form
    591,196/917,155.50 = 917,155.50/x
  3. Step 3: Cross multiply
    591,196x = 917,155.50 × 917,155.50
  4. Step 4: Simplify right side
    591,196x = 841,174,211,180.25
  5. Step 5: Solve for x
    x = 841,174,211,180.25/591,196
  6. Step 6: Final answer
    x = 1,422,834.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.