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Finding the Third Proportional to 333,038.25 and 700,886.25

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Solution

The third proportional to 333,038.25 and 700,886.25 is: 1,475,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,038.25 : 700,886.25 = 700,886.25 : x
  2. Step 2: Convert to fraction form
    333,038.25/700,886.25 = 700,886.25/x
  3. Step 3: Cross multiply
    333,038.25x = 700,886.25 × 700,886.25
  4. Step 4: Simplify right side
    333,038.25x = 491,241,535,439.06
  5. Step 5: Solve for x
    x = 491,241,535,439.06/333,038.25
  6. Step 6: Final answer
    x = 1,475,030.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.