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Finding the Third Proportional to 350,053.50 and 714,889.50

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Solution

The third proportional to 350,053.50 and 714,889.50 is: 1,459,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,053.50 : 714,889.50 = 714,889.50 : x
  2. Step 2: Convert to fraction form
    350,053.50/714,889.50 = 714,889.50/x
  3. Step 3: Cross multiply
    350,053.50x = 714,889.50 × 714,889.50
  4. Step 4: Simplify right side
    350,053.50x = 511,066,997,210.25
  5. Step 5: Solve for x
    x = 511,066,997,210.25/350,053.50
  6. Step 6: Final answer
    x = 1,459,968.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.