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Finding the Third Proportional to 403,076 and 602,506

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Solution

The third proportional to 403,076 and 602,506 is: 900,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,076 : 602,506 = 602,506 : x
  2. Step 2: Convert to fraction form
    403,076/602,506 = 602,506/x
  3. Step 3: Cross multiply
    403,076x = 602,506 × 602,506
  4. Step 4: Simplify right side
    403,076x = 363,013,480,036
  5. Step 5: Solve for x
    x = 363,013,480,036/403,076
  6. Step 6: Final answer
    x = 900,608.02

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Why These Related Problems?

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