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Finding the Third Proportional to 357,312 and 535,584

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Solution

The third proportional to 357,312 and 535,584 is: 802,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,312 : 535,584 = 535,584 : x
  2. Step 2: Convert to fraction form
    357,312/535,584 = 535,584/x
  3. Step 3: Cross multiply
    357,312x = 535,584 × 535,584
  4. Step 4: Simplify right side
    357,312x = 286,850,221,056
  5. Step 5: Solve for x
    x = 286,850,221,056/357,312
  6. Step 6: Final answer
    x = 802,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.