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Finding the Third Proportional to 210,528 and 460,429

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Solution

The third proportional to 210,528 and 460,429 is: 1,006,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,528 : 460,429 = 460,429 : x
  2. Step 2: Convert to fraction form
    210,528/460,429 = 460,429/x
  3. Step 3: Cross multiply
    210,528x = 460,429 × 460,429
  4. Step 4: Simplify right side
    210,528x = 211,994,864,041
  5. Step 5: Solve for x
    x = 211,994,864,041/210,528
  6. Step 6: Final answer
    x = 1,006,967.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.