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Finding the Third Proportional to 470,316 and 709,718

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Solution

The third proportional to 470,316 and 709,718 is: 1,070,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,316 : 709,718 = 709,718 : x
  2. Step 2: Convert to fraction form
    470,316/709,718 = 709,718/x
  3. Step 3: Cross multiply
    470,316x = 709,718 × 709,718
  4. Step 4: Simplify right side
    470,316x = 503,699,639,524
  5. Step 5: Solve for x
    x = 503,699,639,524/470,316
  6. Step 6: Final answer
    x = 1,070,981.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.