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Finding the Third Proportional to 507,585 and 714,159.75

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Solution

The third proportional to 507,585 and 714,159.75 is: 1,004,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,585 : 714,159.75 = 714,159.75 : x
  2. Step 2: Convert to fraction form
    507,585/714,159.75 = 714,159.75/x
  3. Step 3: Cross multiply
    507,585x = 714,159.75 × 714,159.75
  4. Step 4: Simplify right side
    507,585x = 510,024,148,520.06
  5. Step 5: Solve for x
    x = 510,024,148,520.06/507,585
  6. Step 6: Final answer
    x = 1,004,805.40

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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.