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Finding the Third Proportional to 697,062 and 1,032,637.50

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Solution

The third proportional to 697,062 and 1,032,637.50 is: 1,529,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,062 : 1,032,637.50 = 1,032,637.50 : x
  2. Step 2: Convert to fraction form
    697,062/1,032,637.50 = 1,032,637.50/x
  3. Step 3: Cross multiply
    697,062x = 1,032,637.50 × 1,032,637.50
  4. Step 4: Simplify right side
    697,062x = 1,066,340,206,406.25
  5. Step 5: Solve for x
    x = 1,066,340,206,406.25/697,062
  6. Step 6: Final answer
    x = 1,529,763.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.