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Finding the Third Proportional to 602,658 and 884,304

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Solution

The third proportional to 602,658 and 884,304 is: 1,297,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,658 : 884,304 = 884,304 : x
  2. Step 2: Convert to fraction form
    602,658/884,304 = 884,304/x
  3. Step 3: Cross multiply
    602,658x = 884,304 × 884,304
  4. Step 4: Simplify right side
    602,658x = 781,993,564,416
  5. Step 5: Solve for x
    x = 781,993,564,416/602,658
  6. Step 6: Final answer
    x = 1,297,574.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.