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Finding the Third Proportional to 459,312 and 675,360

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Solution

The third proportional to 459,312 and 675,360 is: 993,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,312 : 675,360 = 675,360 : x
  2. Step 2: Convert to fraction form
    459,312/675,360 = 675,360/x
  3. Step 3: Cross multiply
    459,312x = 675,360 × 675,360
  4. Step 4: Simplify right side
    459,312x = 456,111,129,600
  5. Step 5: Solve for x
    x = 456,111,129,600/459,312
  6. Step 6: Final answer
    x = 993,031.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.