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Finding the Third Proportional to 558,973.50 and 1,207,237.50

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Solution

The third proportional to 558,973.50 and 1,207,237.50 is: 2,607,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,973.50 : 1,207,237.50 = 1,207,237.50 : x
  2. Step 2: Convert to fraction form
    558,973.50/1,207,237.50 = 1,207,237.50/x
  3. Step 3: Cross multiply
    558,973.50x = 1,207,237.50 × 1,207,237.50
  4. Step 4: Simplify right side
    558,973.50x = 1,457,422,381,406.25
  5. Step 5: Solve for x
    x = 1,457,422,381,406.25/558,973.50
  6. Step 6: Final answer
    x = 2,607,319.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.