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Finding the Third Proportional to 402,302.95 and 607,554.42

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Solution

The third proportional to 402,302.95 and 607,554.42 is: 917,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,302.95 : 607,554.42 = 607,554.42 : x
  2. Step 2: Convert to fraction form
    402,302.95/607,554.42 = 607,554.42/x
  3. Step 3: Cross multiply
    402,302.95x = 607,554.42 × 607,554.42
  4. Step 4: Simplify right side
    402,302.95x = 369,122,375,539.87
  5. Step 5: Solve for x
    x = 369,122,375,539.87/402,302.95
  6. Step 6: Final answer
    x = 917,523.41

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