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Finding the Third Proportional to 574,465.50 and 909,218.25

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Solution

The third proportional to 574,465.50 and 909,218.25 is: 1,439,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,465.50 : 909,218.25 = 909,218.25 : x
  2. Step 2: Convert to fraction form
    574,465.50/909,218.25 = 909,218.25/x
  3. Step 3: Cross multiply
    574,465.50x = 909,218.25 × 909,218.25
  4. Step 4: Simplify right side
    574,465.50x = 826,677,826,133.06
  5. Step 5: Solve for x
    x = 826,677,826,133.06/574,465.50
  6. Step 6: Final answer
    x = 1,439,038.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.