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Finding the Third Proportional to 532,836 and 750,432

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Solution

The third proportional to 532,836 and 750,432 is: 1,056,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,836 : 750,432 = 750,432 : x
  2. Step 2: Convert to fraction form
    532,836/750,432 = 750,432/x
  3. Step 3: Cross multiply
    532,836x = 750,432 × 750,432
  4. Step 4: Simplify right side
    532,836x = 563,148,186,624
  5. Step 5: Solve for x
    x = 563,148,186,624/532,836
  6. Step 6: Final answer
    x = 1,056,888.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.