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Finding the Third Proportional to 459,054 and 709,074

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Solution

The third proportional to 459,054 and 709,074 is: 1,095,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,054 : 709,074 = 709,074 : x
  2. Step 2: Convert to fraction form
    459,054/709,074 = 709,074/x
  3. Step 3: Cross multiply
    459,054x = 709,074 × 709,074
  4. Step 4: Simplify right side
    459,054x = 502,785,937,476
  5. Step 5: Solve for x
    x = 502,785,937,476/459,054
  6. Step 6: Final answer
    x = 1,095,265.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.