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Finding the Third Proportional to 330,973.50 and 714,426

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Solution

The third proportional to 330,973.50 and 714,426 is: 1,542,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,973.50 : 714,426 = 714,426 : x
  2. Step 2: Convert to fraction form
    330,973.50/714,426 = 714,426/x
  3. Step 3: Cross multiply
    330,973.50x = 714,426 × 714,426
  4. Step 4: Simplify right side
    330,973.50x = 510,404,509,476
  5. Step 5: Solve for x
    x = 510,404,509,476/330,973.50
  6. Step 6: Final answer
    x = 1,542,131.05

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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.