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Finding the Third Proportional to 350,685 and 501,442.50

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Solution

The third proportional to 350,685 and 501,442.50 is: 717,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,685 : 501,442.50 = 501,442.50 : x
  2. Step 2: Convert to fraction form
    350,685/501,442.50 = 501,442.50/x
  3. Step 3: Cross multiply
    350,685x = 501,442.50 × 501,442.50
  4. Step 4: Simplify right side
    350,685x = 251,444,580,806.25
  5. Step 5: Solve for x
    x = 251,444,580,806.25/350,685
  6. Step 6: Final answer
    x = 717,009.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.