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Finding the Third Proportional to 602,501 and 870,581

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Solution

The third proportional to 602,501 and 870,581 is: 1,257,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,501 : 870,581 = 870,581 : x
  2. Step 2: Convert to fraction form
    602,501/870,581 = 870,581/x
  3. Step 3: Cross multiply
    602,501x = 870,581 × 870,581
  4. Step 4: Simplify right side
    602,501x = 757,911,277,561
  5. Step 5: Solve for x
    x = 757,911,277,561/602,501
  6. Step 6: Final answer
    x = 1,257,941.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.