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Finding the Third Proportional to 429,963 and 601,365

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Solution

The third proportional to 429,963 and 601,365 is: 841,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,963 : 601,365 = 601,365 : x
  2. Step 2: Convert to fraction form
    429,963/601,365 = 601,365/x
  3. Step 3: Cross multiply
    429,963x = 601,365 × 601,365
  4. Step 4: Simplify right side
    429,963x = 361,639,863,225
  5. Step 5: Solve for x
    x = 361,639,863,225/429,963
  6. Step 6: Final answer
    x = 841,095.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.