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Finding the Third Proportional to 404,426 and 602,746

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Solution

The third proportional to 404,426 and 602,746 is: 898,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,426 : 602,746 = 602,746 : x
  2. Step 2: Convert to fraction form
    404,426/602,746 = 602,746/x
  3. Step 3: Cross multiply
    404,426x = 602,746 × 602,746
  4. Step 4: Simplify right side
    404,426x = 363,302,740,516
  5. Step 5: Solve for x
    x = 363,302,740,516/404,426
  6. Step 6: Final answer
    x = 898,316.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.