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Finding the Third Proportional to 294,759 and 692,860.50

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Solution

The third proportional to 294,759 and 692,860.50 is: 1,628,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,759 : 692,860.50 = 692,860.50 : x
  2. Step 2: Convert to fraction form
    294,759/692,860.50 = 692,860.50/x
  3. Step 3: Cross multiply
    294,759x = 692,860.50 × 692,860.50
  4. Step 4: Simplify right side
    294,759x = 480,055,672,460.25
  5. Step 5: Solve for x
    x = 480,055,672,460.25/294,759
  6. Step 6: Final answer
    x = 1,628,637.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.