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Finding the Third Proportional to 423,531 and 913,036.50

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Solution

The third proportional to 423,531 and 913,036.50 is: 1,968,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,531 : 913,036.50 = 913,036.50 : x
  2. Step 2: Convert to fraction form
    423,531/913,036.50 = 913,036.50/x
  3. Step 3: Cross multiply
    423,531x = 913,036.50 × 913,036.50
  4. Step 4: Simplify right side
    423,531x = 833,635,650,332.25
  5. Step 5: Solve for x
    x = 833,635,650,332.25/423,531
  6. Step 6: Final answer
    x = 1,968,299.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.