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Finding the Third Proportional to 243,507 and 374,494.50

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Solution

The third proportional to 243,507 and 374,494.50 is: 575,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,507 : 374,494.50 = 374,494.50 : x
  2. Step 2: Convert to fraction form
    243,507/374,494.50 = 374,494.50/x
  3. Step 3: Cross multiply
    243,507x = 374,494.50 × 374,494.50
  4. Step 4: Simplify right side
    243,507x = 140,246,130,530.25
  5. Step 5: Solve for x
    x = 140,246,130,530.25/243,507
  6. Step 6: Final answer
    x = 575,942.91

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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.