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Finding the Third Proportional to 369,120.09 and 561,146.06

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Solution

The third proportional to 369,120.09 and 561,146.06 is: 853,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,120.09 : 561,146.06 = 561,146.06 : x
  2. Step 2: Convert to fraction form
    369,120.09/561,146.06 = 561,146.06/x
  3. Step 3: Cross multiply
    369,120.09x = 561,146.06 × 561,146.06
  4. Step 4: Simplify right side
    369,120.09x = 314,884,903,459.25
  5. Step 5: Solve for x
    x = 314,884,903,459.25/369,120.09
  6. Step 6: Final answer
    x = 853,068.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.