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Finding the Third Proportional to 602,575 and 910,038

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Solution

The third proportional to 602,575 and 910,038 is: 1,374,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,575 : 910,038 = 910,038 : x
  2. Step 2: Convert to fraction form
    602,575/910,038 = 910,038/x
  3. Step 3: Cross multiply
    602,575x = 910,038 × 910,038
  4. Step 4: Simplify right side
    602,575x = 828,169,161,444
  5. Step 5: Solve for x
    x = 828,169,161,444/602,575
  6. Step 6: Final answer
    x = 1,374,383.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.