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Finding the Third Proportional to 360,946 and 504,655.50

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Solution

The third proportional to 360,946 and 504,655.50 is: 705,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946 : 504,655.50 = 504,655.50 : x
  2. Step 2: Convert to fraction form
    360,946/504,655.50 = 504,655.50/x
  3. Step 3: Cross multiply
    360,946x = 504,655.50 × 504,655.50
  4. Step 4: Simplify right side
    360,946x = 254,677,173,680.25
  5. Step 5: Solve for x
    x = 254,677,173,680.25/360,946
  6. Step 6: Final answer
    x = 705,582.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.