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Finding the Third Proportional to 830,623.50 and 1,301,300.25

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Solution

The third proportional to 830,623.50 and 1,301,300.25 is: 2,038,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,623.50 : 1,301,300.25 = 1,301,300.25 : x
  2. Step 2: Convert to fraction form
    830,623.50/1,301,300.25 = 1,301,300.25/x
  3. Step 3: Cross multiply
    830,623.50x = 1,301,300.25 × 1,301,300.25
  4. Step 4: Simplify right side
    830,623.50x = 1,693,382,340,650.06
  5. Step 5: Solve for x
    x = 1,693,382,340,650.06/830,623.50
  6. Step 6: Final answer
    x = 2,038,688.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.