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Finding the Third Proportional to 470,790 and 697,029

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Solution

The third proportional to 470,790 and 697,029 is: 1,031,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,790 : 697,029 = 697,029 : x
  2. Step 2: Convert to fraction form
    470,790/697,029 = 697,029/x
  3. Step 3: Cross multiply
    470,790x = 697,029 × 697,029
  4. Step 4: Simplify right side
    470,790x = 485,849,426,841
  5. Step 5: Solve for x
    x = 485,849,426,841/470,790
  6. Step 6: Final answer
    x = 1,031,987.57

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Why These Related Problems?

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