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Finding the Third Proportional to 374,683.22 and 507,896.58

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Solution

The third proportional to 374,683.22 and 507,896.58 is: 688,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,683.22 : 507,896.58 = 507,896.58 : x
  2. Step 2: Convert to fraction form
    374,683.22/507,896.58 = 507,896.58/x
  3. Step 3: Cross multiply
    374,683.22x = 507,896.58 × 507,896.58
  4. Step 4: Simplify right side
    374,683.22x = 257,958,934,071.08
  5. Step 5: Solve for x
    x = 257,958,934,071.08/374,683.22
  6. Step 6: Final answer
    x = 688,472.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.