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Finding the Third Proportional to 506,528 and 802,074

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Solution

The third proportional to 506,528 and 802,074 is: 1,270,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,528 : 802,074 = 802,074 : x
  2. Step 2: Convert to fraction form
    506,528/802,074 = 802,074/x
  3. Step 3: Cross multiply
    506,528x = 802,074 × 802,074
  4. Step 4: Simplify right side
    506,528x = 643,322,701,476
  5. Step 5: Solve for x
    x = 643,322,701,476/506,528
  6. Step 6: Final answer
    x = 1,270,063.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.