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Finding the Third Proportional to 210,310 and 455,594

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Solution

The third proportional to 210,310 and 455,594 is: 986,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,310 : 455,594 = 455,594 : x
  2. Step 2: Convert to fraction form
    210,310/455,594 = 455,594/x
  3. Step 3: Cross multiply
    210,310x = 455,594 × 455,594
  4. Step 4: Simplify right side
    210,310x = 207,565,892,836
  5. Step 5: Solve for x
    x = 207,565,892,836/210,310
  6. Step 6: Final answer
    x = 986,952.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.