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Finding the Third Proportional to 478,539 and 697,036.50

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Solution

The third proportional to 478,539 and 697,036.50 is: 1,015,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,539 : 697,036.50 = 697,036.50 : x
  2. Step 2: Convert to fraction form
    478,539/697,036.50 = 697,036.50/x
  3. Step 3: Cross multiply
    478,539x = 697,036.50 × 697,036.50
  4. Step 4: Simplify right side
    478,539x = 485,859,882,332.25
  5. Step 5: Solve for x
    x = 485,859,882,332.25/478,539
  6. Step 6: Final answer
    x = 1,015,298.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.