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Finding the Third Proportional to 387,735 and 568,822.50

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Solution

The third proportional to 387,735 and 568,822.50 is: 834,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,735 : 568,822.50 = 568,822.50 : x
  2. Step 2: Convert to fraction form
    387,735/568,822.50 = 568,822.50/x
  3. Step 3: Cross multiply
    387,735x = 568,822.50 × 568,822.50
  4. Step 4: Simplify right side
    387,735x = 323,559,036,506.25
  5. Step 5: Solve for x
    x = 323,559,036,506.25/387,735
  6. Step 6: Final answer
    x = 834,484.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.