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Finding the Third Proportional to 470,817 and 604,510.50

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Solution

The third proportional to 470,817 and 604,510.50 is: 776,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,817 : 604,510.50 = 604,510.50 : x
  2. Step 2: Convert to fraction form
    470,817/604,510.50 = 604,510.50/x
  3. Step 3: Cross multiply
    470,817x = 604,510.50 × 604,510.50
  4. Step 4: Simplify right side
    470,817x = 365,432,944,610.25
  5. Step 5: Solve for x
    x = 365,432,944,610.25/470,817
  6. Step 6: Final answer
    x = 776,167.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.