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Finding the Third Proportional to 507,808 and 745,998

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Solution

The third proportional to 507,808 and 745,998 is: 1,095,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,808 : 745,998 = 745,998 : x
  2. Step 2: Convert to fraction form
    507,808/745,998 = 745,998/x
  3. Step 3: Cross multiply
    507,808x = 745,998 × 745,998
  4. Step 4: Simplify right side
    507,808x = 556,513,016,004
  5. Step 5: Solve for x
    x = 556,513,016,004/507,808
  6. Step 6: Final answer
    x = 1,095,912.27

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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.