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Finding the Third Proportional to 286,355 and 592,528

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Solution

The third proportional to 286,355 and 592,528 is: 1,226,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,355 : 592,528 = 592,528 : x
  2. Step 2: Convert to fraction form
    286,355/592,528 = 592,528/x
  3. Step 3: Cross multiply
    286,355x = 592,528 × 592,528
  4. Step 4: Simplify right side
    286,355x = 351,089,430,784
  5. Step 5: Solve for x
    x = 351,089,430,784/286,355
  6. Step 6: Final answer
    x = 1,226,063.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.