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Finding the Third Proportional to 210,303 and 461,319

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Solution

The third proportional to 210,303 and 461,319 is: 1,011,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,303 : 461,319 = 461,319 : x
  2. Step 2: Convert to fraction form
    210,303/461,319 = 461,319/x
  3. Step 3: Cross multiply
    210,303x = 461,319 × 461,319
  4. Step 4: Simplify right side
    210,303x = 212,815,219,761
  5. Step 5: Solve for x
    x = 212,815,219,761/210,303
  6. Step 6: Final answer
    x = 1,011,945.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.