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Finding the Third Proportional to 374,314.50 and 575,929.50

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Solution

The third proportional to 374,314.50 and 575,929.50 is: 886,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,314.50 : 575,929.50 = 575,929.50 : x
  2. Step 2: Convert to fraction form
    374,314.50/575,929.50 = 575,929.50/x
  3. Step 3: Cross multiply
    374,314.50x = 575,929.50 × 575,929.50
  4. Step 4: Simplify right side
    374,314.50x = 331,694,788,970.25
  5. Step 5: Solve for x
    x = 331,694,788,970.25/374,314.50
  6. Step 6: Final answer
    x = 886,139.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.