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Finding the Third Proportional to 590,442 and 828,507

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Solution

The third proportional to 590,442 and 828,507 is: 1,162,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,442 : 828,507 = 828,507 : x
  2. Step 2: Convert to fraction form
    590,442/828,507 = 828,507/x
  3. Step 3: Cross multiply
    590,442x = 828,507 × 828,507
  4. Step 4: Simplify right side
    590,442x = 686,423,849,049
  5. Step 5: Solve for x
    x = 686,423,849,049/590,442
  6. Step 6: Final answer
    x = 1,162,559.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.