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Finding the Third Proportional to 507,804 and 745,992

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Solution

The third proportional to 507,804 and 745,992 is: 1,095,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,804 : 745,992 = 745,992 : x
  2. Step 2: Convert to fraction form
    507,804/745,992 = 745,992/x
  3. Step 3: Cross multiply
    507,804x = 745,992 × 745,992
  4. Step 4: Simplify right side
    507,804x = 556,504,064,064
  5. Step 5: Solve for x
    x = 556,504,064,064/507,804
  6. Step 6: Final answer
    x = 1,095,903.27

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Why These Related Problems?

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