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Finding the Third Proportional to 415,043 and 607,785.50

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Solution

The third proportional to 415,043 and 607,785.50 is: 890,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,043 : 607,785.50 = 607,785.50 : x
  2. Step 2: Convert to fraction form
    415,043/607,785.50 = 607,785.50/x
  3. Step 3: Cross multiply
    415,043x = 607,785.50 × 607,785.50
  4. Step 4: Simplify right side
    415,043x = 369,403,214,010.25
  5. Step 5: Solve for x
    x = 369,403,214,010.25/415,043
  6. Step 6: Final answer
    x = 890,036.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.