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Finding the Third Proportional to 297,411 and 623,901

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Solution

The third proportional to 297,411 and 623,901 is: 1,308,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411 : 623,901 = 623,901 : x
  2. Step 2: Convert to fraction form
    297,411/623,901 = 623,901/x
  3. Step 3: Cross multiply
    297,411x = 623,901 × 623,901
  4. Step 4: Simplify right side
    297,411x = 389,252,457,801
  5. Step 5: Solve for x
    x = 389,252,457,801/297,411
  6. Step 6: Final answer
    x = 1,308,803.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.