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Finding the Third Proportional to 210,495 and 461,354

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Solution

The third proportional to 210,495 and 461,354 is: 1,011,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,495 : 461,354 = 461,354 : x
  2. Step 2: Convert to fraction form
    210,495/461,354 = 461,354/x
  3. Step 3: Cross multiply
    210,495x = 461,354 × 461,354
  4. Step 4: Simplify right side
    210,495x = 212,847,513,316
  5. Step 5: Solve for x
    x = 212,847,513,316/210,495
  6. Step 6: Final answer
    x = 1,011,176.10

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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.