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Finding the Third Proportional to 429,957 and 601,357.50

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Solution

The third proportional to 429,957 and 601,357.50 is: 841,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,957 : 601,357.50 = 601,357.50 : x
  2. Step 2: Convert to fraction form
    429,957/601,357.50 = 601,357.50/x
  3. Step 3: Cross multiply
    429,957x = 601,357.50 × 601,357.50
  4. Step 4: Simplify right side
    429,957x = 361,630,842,806.25
  5. Step 5: Solve for x
    x = 361,630,842,806.25/429,957
  6. Step 6: Final answer
    x = 841,086.07

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