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Finding the Third Proportional to 666,378 and 974,573.50

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Solution

The third proportional to 666,378 and 974,573.50 is: 1,425,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,378 : 974,573.50 = 974,573.50 : x
  2. Step 2: Convert to fraction form
    666,378/974,573.50 = 974,573.50/x
  3. Step 3: Cross multiply
    666,378x = 974,573.50 × 974,573.50
  4. Step 4: Simplify right side
    666,378x = 949,793,506,902.25
  5. Step 5: Solve for x
    x = 949,793,506,902.25/666,378
  6. Step 6: Final answer
    x = 1,425,307.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.