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Finding the Third Proportional to 830,605.50 and 1,301,271.75

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Solution

The third proportional to 830,605.50 and 1,301,271.75 is: 2,038,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,605.50 : 1,301,271.75 = 1,301,271.75 : x
  2. Step 2: Convert to fraction form
    830,605.50/1,301,271.75 = 1,301,271.75/x
  3. Step 3: Cross multiply
    830,605.50x = 1,301,271.75 × 1,301,271.75
  4. Step 4: Simplify right side
    830,605.50x = 1,693,308,167,348.06
  5. Step 5: Solve for x
    x = 1,693,308,167,348.06/830,605.50
  6. Step 6: Final answer
    x = 2,038,643.10

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Why These Related Problems?

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