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Finding the Third Proportional to 333,042 and 507,906

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Solution

The third proportional to 333,042 and 507,906 is: 774,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,042 : 507,906 = 507,906 : x
  2. Step 2: Convert to fraction form
    333,042/507,906 = 507,906/x
  3. Step 3: Cross multiply
    333,042x = 507,906 × 507,906
  4. Step 4: Simplify right side
    333,042x = 257,968,504,836
  5. Step 5: Solve for x
    x = 257,968,504,836/333,042
  6. Step 6: Final answer
    x = 774,582.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.