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Finding the Third Proportional to 773,136 and 1,168,177.50

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Solution

The third proportional to 773,136 and 1,168,177.50 is: 1,765,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,136 : 1,168,177.50 = 1,168,177.50 : x
  2. Step 2: Convert to fraction form
    773,136/1,168,177.50 = 1,168,177.50/x
  3. Step 3: Cross multiply
    773,136x = 1,168,177.50 × 1,168,177.50
  4. Step 4: Simplify right side
    773,136x = 1,364,638,671,506.25
  5. Step 5: Solve for x
    x = 1,364,638,671,506.25/773,136
  6. Step 6: Final answer
    x = 1,765,069.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.