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Finding the Third Proportional to 350,401.50 and 501,070.50

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Solution

The third proportional to 350,401.50 and 501,070.50 is: 716,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,401.50 : 501,070.50 = 501,070.50 : x
  2. Step 2: Convert to fraction form
    350,401.50/501,070.50 = 501,070.50/x
  3. Step 3: Cross multiply
    350,401.50x = 501,070.50 × 501,070.50
  4. Step 4: Simplify right side
    350,401.50x = 251,071,645,970.25
  5. Step 5: Solve for x
    x = 251,071,645,970.25/350,401.50
  6. Step 6: Final answer
    x = 716,525.60

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Why These Related Problems?

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