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Finding the Third Proportional to 418,307.63 and 903,030.75

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Solution

The third proportional to 418,307.63 and 903,030.75 is: 1,949,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,307.63 : 903,030.75 = 903,030.75 : x
  2. Step 2: Convert to fraction form
    418,307.63/903,030.75 = 903,030.75/x
  3. Step 3: Cross multiply
    418,307.63x = 903,030.75 × 903,030.75
  4. Step 4: Simplify right side
    418,307.63x = 815,464,535,445.56
  5. Step 5: Solve for x
    x = 815,464,535,445.56/418,307.63
  6. Step 6: Final answer
    x = 1,949,437.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.