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Finding the Third Proportional to 285,507 and 634,846.50

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Solution

The third proportional to 285,507 and 634,846.50 is: 1,411,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,507 : 634,846.50 = 634,846.50 : x
  2. Step 2: Convert to fraction form
    285,507/634,846.50 = 634,846.50/x
  3. Step 3: Cross multiply
    285,507x = 634,846.50 × 634,846.50
  4. Step 4: Simplify right side
    285,507x = 403,030,078,562.25
  5. Step 5: Solve for x
    x = 403,030,078,562.25/285,507
  6. Step 6: Final answer
    x = 1,411,629.41

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.