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Finding the Third Proportional to 333,072 and 507,897

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Solution

The third proportional to 333,072 and 507,897 is: 774,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,072 : 507,897 = 507,897 : x
  2. Step 2: Convert to fraction form
    333,072/507,897 = 507,897/x
  3. Step 3: Cross multiply
    333,072x = 507,897 × 507,897
  4. Step 4: Simplify right side
    333,072x = 257,959,362,609
  5. Step 5: Solve for x
    x = 257,959,362,609/333,072
  6. Step 6: Final answer
    x = 774,485.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.