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Finding the Third Proportional to 602,205 and 933,567

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Solution

The third proportional to 602,205 and 933,567 is: 1,447,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,205 : 933,567 = 933,567 : x
  2. Step 2: Convert to fraction form
    602,205/933,567 = 933,567/x
  3. Step 3: Cross multiply
    602,205x = 933,567 × 933,567
  4. Step 4: Simplify right side
    602,205x = 871,547,343,489
  5. Step 5: Solve for x
    x = 871,547,343,489/602,205
  6. Step 6: Final answer
    x = 1,447,260.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.