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Finding the Third Proportional to 495,264.38 and 1,085,465.81

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Solution

The third proportional to 495,264.38 and 1,085,465.81 is: 2,379,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,264.38 : 1,085,465.81 = 1,085,465.81 : x
  2. Step 2: Convert to fraction form
    495,264.38/1,085,465.81 = 1,085,465.81/x
  3. Step 3: Cross multiply
    495,264.38x = 1,085,465.81 × 1,085,465.81
  4. Step 4: Simplify right side
    495,264.38x = 1,178,236,030,106.29
  5. Step 5: Solve for x
    x = 1,178,236,030,106.29/495,264.38
  6. Step 6: Final answer
    x = 2,379,004.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.