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Finding the Third Proportional to 470,056 and 706,124

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Solution

The third proportional to 470,056 and 706,124 is: 1,060,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,056 : 706,124 = 706,124 : x
  2. Step 2: Convert to fraction form
    470,056/706,124 = 706,124/x
  3. Step 3: Cross multiply
    470,056x = 706,124 × 706,124
  4. Step 4: Simplify right side
    470,056x = 498,611,103,376
  5. Step 5: Solve for x
    x = 498,611,103,376/470,056
  6. Step 6: Final answer
    x = 1,060,748.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.