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Finding the Third Proportional to 597,088 and 895,263

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Solution

The third proportional to 597,088 and 895,263 is: 1,342,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,088 : 895,263 = 895,263 : x
  2. Step 2: Convert to fraction form
    597,088/895,263 = 895,263/x
  3. Step 3: Cross multiply
    597,088x = 895,263 × 895,263
  4. Step 4: Simplify right side
    597,088x = 801,495,839,169
  5. Step 5: Solve for x
    x = 801,495,839,169/597,088
  6. Step 6: Final answer
    x = 1,342,341.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.