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Finding the Third Proportional to 350,041.50 and 509,746.50

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Solution

The third proportional to 350,041.50 and 509,746.50 is: 742,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,041.50 : 509,746.50 = 509,746.50 : x
  2. Step 2: Convert to fraction form
    350,041.50/509,746.50 = 509,746.50/x
  3. Step 3: Cross multiply
    350,041.50x = 509,746.50 × 509,746.50
  4. Step 4: Simplify right side
    350,041.50x = 259,841,494,262.25
  5. Step 5: Solve for x
    x = 259,841,494,262.25/350,041.50
  6. Step 6: Final answer
    x = 742,316.25

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Why These Related Problems?

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