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Finding the Third Proportional to 208,083 and 448,943

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Solution

The third proportional to 208,083 and 448,943 is: 968,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083 : 448,943 = 448,943 : x
  2. Step 2: Convert to fraction form
    208,083/448,943 = 448,943/x
  3. Step 3: Cross multiply
    208,083x = 448,943 × 448,943
  4. Step 4: Simplify right side
    208,083x = 201,549,817,249
  5. Step 5: Solve for x
    x = 201,549,817,249/208,083
  6. Step 6: Final answer
    x = 968,603.00

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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.