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Finding the Third Proportional to 526,440 and 750,284

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Solution

The third proportional to 526,440 and 750,284 is: 1,069,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,440 : 750,284 = 750,284 : x
  2. Step 2: Convert to fraction form
    526,440/750,284 = 750,284/x
  3. Step 3: Cross multiply
    526,440x = 750,284 × 750,284
  4. Step 4: Simplify right side
    526,440x = 562,926,080,656
  5. Step 5: Solve for x
    x = 562,926,080,656/526,440
  6. Step 6: Final answer
    x = 1,069,307.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.