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Finding the Third Proportional to 529,095 and 798,412.50

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Solution

The third proportional to 529,095 and 798,412.50 is: 1,204,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,095 : 798,412.50 = 798,412.50 : x
  2. Step 2: Convert to fraction form
    529,095/798,412.50 = 798,412.50/x
  3. Step 3: Cross multiply
    529,095x = 798,412.50 × 798,412.50
  4. Step 4: Simplify right side
    529,095x = 637,462,520,156.25
  5. Step 5: Solve for x
    x = 637,462,520,156.25/529,095
  6. Step 6: Final answer
    x = 1,204,816.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.