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Finding the Third Proportional to 334,657.88 and 652,501.50

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Solution

The third proportional to 334,657.88 and 652,501.50 is: 1,272,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,657.88 : 652,501.50 = 652,501.50 : x
  2. Step 2: Convert to fraction form
    334,657.88/652,501.50 = 652,501.50/x
  3. Step 3: Cross multiply
    334,657.88x = 652,501.50 × 652,501.50
  4. Step 4: Simplify right side
    334,657.88x = 425,758,207,502.25
  5. Step 5: Solve for x
    x = 425,758,207,502.25/334,657.88
  6. Step 6: Final answer
    x = 1,272,219.30

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.