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Finding the Third Proportional to 401,841 and 607,927.50

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Solution

The third proportional to 401,841 and 607,927.50 is: 919,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,841 : 607,927.50 = 607,927.50 : x
  2. Step 2: Convert to fraction form
    401,841/607,927.50 = 607,927.50/x
  3. Step 3: Cross multiply
    401,841x = 607,927.50 × 607,927.50
  4. Step 4: Simplify right side
    401,841x = 369,575,845,256.25
  5. Step 5: Solve for x
    x = 369,575,845,256.25/401,841
  6. Step 6: Final answer
    x = 919,706.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.