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Finding the Third Proportional to 359,176 and 563,547

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Solution

The third proportional to 359,176 and 563,547 is: 884,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,176 : 563,547 = 563,547 : x
  2. Step 2: Convert to fraction form
    359,176/563,547 = 563,547/x
  3. Step 3: Cross multiply
    359,176x = 563,547 × 563,547
  4. Step 4: Simplify right side
    359,176x = 317,585,221,209
  5. Step 5: Solve for x
    x = 317,585,221,209/359,176
  6. Step 6: Final answer
    x = 884,205.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.