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Finding the Third Proportional to 530,911.50 and 1,155,133.50

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Solution

The third proportional to 530,911.50 and 1,155,133.50 is: 2,513,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,911.50 : 1,155,133.50 = 1,155,133.50 : x
  2. Step 2: Convert to fraction form
    530,911.50/1,155,133.50 = 1,155,133.50/x
  3. Step 3: Cross multiply
    530,911.50x = 1,155,133.50 × 1,155,133.50
  4. Step 4: Simplify right side
    530,911.50x = 1,334,333,402,822.25
  5. Step 5: Solve for x
    x = 1,334,333,402,822.25/530,911.50
  6. Step 6: Final answer
    x = 2,513,287.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.