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Finding the Third Proportional to 353,136 and 772,292.25

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Solution

The third proportional to 353,136 and 772,292.25 is: 1,688,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,136 : 772,292.25 = 772,292.25 : x
  2. Step 2: Convert to fraction form
    353,136/772,292.25 = 772,292.25/x
  3. Step 3: Cross multiply
    353,136x = 772,292.25 × 772,292.25
  4. Step 4: Simplify right side
    353,136x = 596,435,319,410.06
  5. Step 5: Solve for x
    x = 596,435,319,410.06/353,136
  6. Step 6: Final answer
    x = 1,688,967.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.