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Finding the Third Proportional to 464,214 and 626,332

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Solution

The third proportional to 464,214 and 626,332 is: 845,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,214 : 626,332 = 626,332 : x
  2. Step 2: Convert to fraction form
    464,214/626,332 = 626,332/x
  3. Step 3: Cross multiply
    464,214x = 626,332 × 626,332
  4. Step 4: Simplify right side
    464,214x = 392,291,774,224
  5. Step 5: Solve for x
    x = 392,291,774,224/464,214
  6. Step 6: Final answer
    x = 845,066.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.