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Finding the Third Proportional to 470,164 and 716,262

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Solution

The third proportional to 470,164 and 716,262 is: 1,091,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,164 : 716,262 = 716,262 : x
  2. Step 2: Convert to fraction form
    470,164/716,262 = 716,262/x
  3. Step 3: Cross multiply
    470,164x = 716,262 × 716,262
  4. Step 4: Simplify right side
    470,164x = 513,031,252,644
  5. Step 5: Solve for x
    x = 513,031,252,644/470,164
  6. Step 6: Final answer
    x = 1,091,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.