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Finding the Third Proportional to 470,698 and 718,363

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Solution

The third proportional to 470,698 and 718,363 is: 1,096,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,698 : 718,363 = 718,363 : x
  2. Step 2: Convert to fraction form
    470,698/718,363 = 718,363/x
  3. Step 3: Cross multiply
    470,698x = 718,363 × 718,363
  4. Step 4: Simplify right side
    470,698x = 516,045,399,769
  5. Step 5: Solve for x
    x = 516,045,399,769/470,698
  6. Step 6: Final answer
    x = 1,096,340.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.